Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian
Abstract We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$.
Gespeichert in:
| Autor*in: |
Chrouda, Mohamed Ben [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media B.V. 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Potential analysis - Springer Netherlands, 1992, 48(2017), 4 vom: 29. Juli, Seite 495-513 |
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| Übergeordnetes Werk: |
volume:48 ; year:2017 ; number:4 ; day:29 ; month:07 ; pages:495-513 |
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| DOI / URN: |
10.1007/s11118-017-9645-7 |
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OLC2046684680 |
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10.1007/s11118-017-9645-7 doi (DE-627)OLC2046684680 (DE-He213)s11118-017-9645-7-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Chrouda, Mohamed Ben verfasserin aut Nonnegative Entire Bounded Solutions to some Semilinear Equations Involving the Fractional Laplacian 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media B.V. 2017 Abstract We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$. Fractional Laplacian Green function Semilinear equation Transient set Fredj, Mahmoud Ben aut Enthalten in Potential analysis Springer Netherlands, 1992 48(2017), 4 vom: 29. Juli, Seite 495-513 (DE-627)165647787 (DE-600)33485-6 (DE-576)032989911 0926-2601 nnns volume:48 year:2017 number:4 day:29 month:07 pages:495-513 https://doi.org/10.1007/s11118-017-9645-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 GBV_ILN_2088 AR 48 2017 4 29 07 495-513 |
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Abstract We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$. © Springer Science+Business Media B.V. 2017 |
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Abstract We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$. © Springer Science+Business Media B.V. 2017 |
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Abstract We establish necessary and sufficient conditions under which the fractional semilinear elliptic equation $\Delta ^{\frac {\alpha }{2}} u=\rho (x)\,\varphi (u)$ admits nonnegative nontrivial bounded solutions in the whole space $\mathbb {R}^{N}$. © Springer Science+Business Media B.V. 2017 |
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