Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices
We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. Suppose that 1<p<N+2/N-2, α>(N-2)(p+1)/2-N for N≥3 or p>1, α>-2 for N=2; we will show that this equation does not possess no...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3495170 |
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| author | Qiongli Wu Liangcai Gan Qingfeng Fan |
| author_facet | Qiongli Wu Liangcai Gan Qingfeng Fan |
| author_sort | Qiongli Wu |
| collection | DOAJ |
| description | We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. Suppose that 1<p<N+2/N-2, α>(N-2)(p+1)/2-N for N≥3 or p>1, α>-2 for N=2; we will show that this equation does not possess nontrivial bounded solution with finite Morse index. |
| format | Article |
| id | doaj-art-fb89a46b32b44cabb29a3c4524be65b1 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fb89a46b32b44cabb29a3c4524be65b12025-02-03T05:52:03ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/34951703495170Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse IndicesQiongli Wu0Liangcai Gan1Qingfeng Fan2Electronic Information School, Wuhan University, Hubei 430071, ChinaElectronic Information School, Wuhan University, Hubei 430071, ChinaUniversité de Versailles Saint-Quentin, Laboratoire Données et Algorithmes pour une Ville Intelligente et Durable (DAVID), 78035 Versailles, FranceWe establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. Suppose that 1<p<N+2/N-2, α>(N-2)(p+1)/2-N for N≥3 or p>1, α>-2 for N=2; we will show that this equation does not possess nontrivial bounded solution with finite Morse index.http://dx.doi.org/10.1155/2016/3495170 |
| spellingShingle | Qiongli Wu Liangcai Gan Qingfeng Fan Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices Journal of Function Spaces |
| title | Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices |
| title_full | Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices |
| title_fullStr | Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices |
| title_full_unstemmed | Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices |
| title_short | Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices |
| title_sort | liouville theorem for some elliptic equations with weights and finite morse indices |
| url | http://dx.doi.org/10.1155/2016/3495170 |
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