Radial symmetry for a generalized nonlinear fractional p-Laplacian problem
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| Format: | Artículo científico |
| Sprache: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876476901767249920 |
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| author | Wenwen Hou |
| author_facet | Wenwen Hou |
| contents | Radial symmetry for a generalized nonlinear fractional p-Laplacian problem Wenwen Hou Lihong Zhang Ravi P. Agarwal Guotao Wang Matemáticas negative powers Generalized fractional method of moving planes radial symmetry and monotonicity This paper first introduces a generalized fractional .-Laplacian operator (.∆). . By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional .-Laplacian, we study the monotonicity and radial symmetry of positive solutions of a generalized fractional .-Laplacian equation with negative power. In addition, a similar conclusion is also given for a generalized Hénon-type nonlinear fractional .-Laplacian equation. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869010 https://www.redalyc.org/journal/6941/694172869010/ https://www.redalyc.org/journal/6941/694172869010/html/ https://www.redalyc.org/journal/6941/694172869010/694172869010.epub https://www.redalyc.org/journal/6941/694172869010/movil https://doi.org/10.15388/namc.2021.26.22358 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.2 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172869010 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Radial symmetry for a generalized nonlinear fractional p-Laplacian problem Wenwen Hou Matemáticas negative powers Generalized fractional method of moving planes radial symmetry and monotonicity Radial symmetry for a generalized nonlinear fractional p-Laplacian problem Wenwen Hou Lihong Zhang Ravi P. Agarwal Guotao Wang Matemáticas negative powers Generalized fractional method of moving planes radial symmetry and monotonicity This paper first introduces a generalized fractional .-Laplacian operator (.∆). . By using the direct method of moving planes, with the help of two lemmas, namely decay at infinity and narrow region principle involving the generalized fractional .-Laplacian, we study the monotonicity and radial symmetry of positive solutions of a generalized fractional .-Laplacian equation with negative power. In addition, a similar conclusion is also given for a generalized Hénon-type nonlinear fractional .-Laplacian equation. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172869010 https://www.redalyc.org/journal/6941/694172869010/ https://www.redalyc.org/journal/6941/694172869010/html/ https://www.redalyc.org/journal/6941/694172869010/694172869010.epub https://www.redalyc.org/journal/6941/694172869010/movil https://doi.org/10.15388/namc.2021.26.22358 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.2 Vol.26 |
| title | Radial symmetry for a generalized nonlinear fractional p-Laplacian problem |
| topic | Matemáticas negative powers Generalized fractional method of moving planes radial symmetry and monotonicity |
| url | https://www.redalyc.org/articulo.oa?id=694172869010 https://www.redalyc.org/journal/6941/694172869010/ https://www.redalyc.org/journal/6941/694172869010/html/ https://www.redalyc.org/journal/6941/694172869010/694172869010.epub https://www.redalyc.org/journal/6941/694172869010/movil https://doi.org/10.15388/namc.2021.26.22358 |