On the

We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Feng, Yibin [verfasserIn] Hu, Shengnan [verfasserIn] Xu, Lei [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	Gaussian volume Monge-Ampère equation Convex body

Übergeordnetes Werk:	Enthalten in: Journal of differential equations - Orlando, Fla. : Elsevier, 1965, 363, Seite 350-390
Übergeordnetes Werk:	volume:363 ; pages:350-390

DOI / URN:	10.1016/j.jde.2023.03.026

Katalog-ID:	ELV009640290

Internformat


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520			\|a We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided.
650		4	\|a Gaussian volume
650		4	\|a Monge-Ampère equation
650		4	\|a Convex body
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700	1		\|a Xu, Lei \|e verfasserin \|4 aut
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773	1	8	\|g volume:363 \|g pages:350-390
912			\|a GBV_USEFLAG_U
912			\|a GBV_ELV
912			\|a SYSFLAG_U
912			\|a SSG-OPC-MAT
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912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_4012
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
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bklnumber	31.44 31.45
publishDate	2023
allfields	10.1016/j.jde.2023.03.026 doi (DE-627)ELV009640290 (ELSEVIER)S0022-0396(23)00202-4 DE-627 ger DE-627 rda eng 510 VZ 31.44 bkl 31.45 bkl Feng, Yibin verfasserin aut On the 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided. Gaussian volume Monge-Ampère equation Convex body Hu, Shengnan verfasserin aut Xu, Lei verfasserin aut Enthalten in Journal of differential equations Orlando, Fla. : Elsevier, 1965 363, Seite 350-390 Online-Ressource (DE-627)266892566 (DE-600)1469173-5 (DE-576)103373209 1090-2732 nnns volume:363 pages:350-390 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.44 Gewöhnliche Differentialgleichungen VZ 31.45 Partielle Differentialgleichungen VZ AR 363 350-390
spelling	10.1016/j.jde.2023.03.026 doi (DE-627)ELV009640290 (ELSEVIER)S0022-0396(23)00202-4 DE-627 ger DE-627 rda eng 510 VZ 31.44 bkl 31.45 bkl Feng, Yibin verfasserin aut On the 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided. Gaussian volume Monge-Ampère equation Convex body Hu, Shengnan verfasserin aut Xu, Lei verfasserin aut Enthalten in Journal of differential equations Orlando, Fla. : Elsevier, 1965 363, Seite 350-390 Online-Ressource (DE-627)266892566 (DE-600)1469173-5 (DE-576)103373209 1090-2732 nnns volume:363 pages:350-390 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.44 Gewöhnliche Differentialgleichungen VZ 31.45 Partielle Differentialgleichungen VZ AR 363 350-390
allfields_unstemmed	10.1016/j.jde.2023.03.026 doi (DE-627)ELV009640290 (ELSEVIER)S0022-0396(23)00202-4 DE-627 ger DE-627 rda eng 510 VZ 31.44 bkl 31.45 bkl Feng, Yibin verfasserin aut On the 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided. Gaussian volume Monge-Ampère equation Convex body Hu, Shengnan verfasserin aut Xu, Lei verfasserin aut Enthalten in Journal of differential equations Orlando, Fla. : Elsevier, 1965 363, Seite 350-390 Online-Ressource (DE-627)266892566 (DE-600)1469173-5 (DE-576)103373209 1090-2732 nnns volume:363 pages:350-390 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.44 Gewöhnliche Differentialgleichungen VZ 31.45 Partielle Differentialgleichungen VZ AR 363 350-390
allfieldsGer	10.1016/j.jde.2023.03.026 doi (DE-627)ELV009640290 (ELSEVIER)S0022-0396(23)00202-4 DE-627 ger DE-627 rda eng 510 VZ 31.44 bkl 31.45 bkl Feng, Yibin verfasserin aut On the 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided. Gaussian volume Monge-Ampère equation Convex body Hu, Shengnan verfasserin aut Xu, Lei verfasserin aut Enthalten in Journal of differential equations Orlando, Fla. : Elsevier, 1965 363, Seite 350-390 Online-Ressource (DE-627)266892566 (DE-600)1469173-5 (DE-576)103373209 1090-2732 nnns volume:363 pages:350-390 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.44 Gewöhnliche Differentialgleichungen VZ 31.45 Partielle Differentialgleichungen VZ AR 363 350-390
allfieldsSound	10.1016/j.jde.2023.03.026 doi (DE-627)ELV009640290 (ELSEVIER)S0022-0396(23)00202-4 DE-627 ger DE-627 rda eng 510 VZ 31.44 bkl 31.45 bkl Feng, Yibin verfasserin aut On the 2023 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided. Gaussian volume Monge-Ampère equation Convex body Hu, Shengnan verfasserin aut Xu, Lei verfasserin aut Enthalten in Journal of differential equations Orlando, Fla. : Elsevier, 1965 363, Seite 350-390 Online-Ressource (DE-627)266892566 (DE-600)1469173-5 (DE-576)103373209 1090-2732 nnns volume:363 pages:350-390 GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2088 GBV_ILN_2106 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 GBV_ILN_2507 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.44 Gewöhnliche Differentialgleichungen VZ 31.45 Partielle Differentialgleichungen VZ AR 363 350-390
language	English
source	Enthalten in Journal of differential equations 363, Seite 350-390 volume:363 pages:350-390
sourceStr	Enthalten in Journal of differential equations 363, Seite 350-390 volume:363 pages:350-390
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bklname	Gewöhnliche Differentialgleichungen Partielle Differentialgleichungen
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topic_facet	Gaussian volume Monge-Ampère equation Convex body
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authorswithroles_txt_mv	Feng, Yibin @@aut@@ Hu, Shengnan @@aut@@ Xu, Lei @@aut@@
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author	Feng, Yibin
spellingShingle	Feng, Yibin ddc 510 bkl 31.44 bkl 31.45 misc Gaussian volume misc Monge-Ampère equation misc Convex body On the
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topic_title	510 VZ 31.44 bkl 31.45 bkl On the Gaussian volume Monge-Ampère equation Convex body
topic	ddc 510 bkl 31.44 bkl 31.45 misc Gaussian volume misc Monge-Ampère equation misc Convex body
topic_unstemmed	ddc 510 bkl 31.44 bkl 31.45 misc Gaussian volume misc Monge-Ampère equation misc Convex body
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abstract	We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided.
abstractGer	We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided.
abstract_unstemmed	We will be concerned with the L p Gaussian Minkowski problem in Gaussian probability space, which amounts to solving a class of Monge-Ampère type equations on the sphere. In this paper, the existence of symmetric (resp. asymmetric) solutions to the problem for p ≤ 0 (resp. p ≥ 1 ) will be provided.
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title_short	On the
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author2	Hu, Shengnan Xu, Lei
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doi_str	10.1016/j.jde.2023.03.026
up_date	2024-07-06T23:51:12.996Z
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