Symmetry and convexity of level sets of solutions to infinity Laplace's equation

We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical pro...
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Autor*in:	Edi Rosset [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	1998

Schlagwörter:	Infinity-Laplace equation p-Laplace equation.

Übergeordnetes Werk:	In: Electronic Journal of Differential Equations - Texas State University, 2003, (1998), 34, Seite 12
Übergeordnetes Werk:	year:1998 ; number:34 ; pages:12

Links:	Link aufrufen Link aufrufen Journal toc

Katalog-ID:	DOAJ041941853

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allfields	(DE-627)DOAJ041941853 (DE-599)DOAJb5c7f81b2a104f5d8cf7c6a04a041ff1 DE-627 ger DE-627 rakwb eng QA1-939 Edi Rosset verfasserin aut Symmetry and convexity of level sets of solutions to infinity Laplace's equation 1998 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions. Infinity-Laplace equation p-Laplace equation. Mathematics In Electronic Journal of Differential Equations Texas State University, 2003 (1998), 34, Seite 12 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:1998 number:34 pages:12 https://doaj.org/article/b5c7f81b2a104f5d8cf7c6a04a041ff1 kostenfrei http://ejde.math.txstate.edu/Volumes/1998/34/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 1998 34 12
spelling	(DE-627)DOAJ041941853 (DE-599)DOAJb5c7f81b2a104f5d8cf7c6a04a041ff1 DE-627 ger DE-627 rakwb eng QA1-939 Edi Rosset verfasserin aut Symmetry and convexity of level sets of solutions to infinity Laplace's equation 1998 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions. Infinity-Laplace equation p-Laplace equation. Mathematics In Electronic Journal of Differential Equations Texas State University, 2003 (1998), 34, Seite 12 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:1998 number:34 pages:12 https://doaj.org/article/b5c7f81b2a104f5d8cf7c6a04a041ff1 kostenfrei http://ejde.math.txstate.edu/Volumes/1998/34/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 1998 34 12
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callnumber-first	Q - Science
author	Edi Rosset
spellingShingle	Edi Rosset misc QA1-939 misc Infinity-Laplace equation misc p-Laplace equation. misc Mathematics Symmetry and convexity of level sets of solutions to infinity Laplace's equation
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topic_title	QA1-939 Symmetry and convexity of level sets of solutions to infinity Laplace's equation Infinity-Laplace equation p-Laplace equation
topic	misc QA1-939 misc Infinity-Laplace equation misc p-Laplace equation. misc Mathematics
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title	Symmetry and convexity of level sets of solutions to infinity Laplace's equation
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title_full	Symmetry and convexity of level sets of solutions to infinity Laplace's equation
author_sort	Edi Rosset
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title_sort	symmetry and convexity of level sets of solutions to infinity laplace's equation
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title_auth	Symmetry and convexity of level sets of solutions to infinity Laplace's equation
abstract	We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions.
abstractGer	We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions.
abstract_unstemmed	We consider the Dirichlet problem $$displaylines{ -Delta_infty u=f(u) quad hbox{in }Omega,,cr u=0quad hbox{on }partialOmega,,} $$ where $Delta_infty u=u_{x_i}u_{x_j}u_{x_ix_j}$ and $f$ is a nonnegative continuous function. We investigate whether the solutions to this equation inherit geometrical properties from the domain $Omega$. We obtain results concerning convexity of level sets and symmetry of solutions.
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title_short	Symmetry and convexity of level sets of solutions to infinity Laplace's equation
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