Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n
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arXiv
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| Format: | Preprint |
| Published: |
2016
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| _version_ | 1866913238800662528 |
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| author | Vétois, Jérôme |
| author_facet | Vétois, Jérôme |
| contents | We study a notion of finite energy solutions to elliptic systems with power nonlinearities in R^n. We establish sharp pointwise decay estimates for positive and sign-changing solutions. By using these estimates, we obtain symmetry results when the solutions are positive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1612_09245 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n Vétois, Jérôme Analysis of PDEs We study a notion of finite energy solutions to elliptic systems with power nonlinearities in R^n. We establish sharp pointwise decay estimates for positive and sign-changing solutions. By using these estimates, we obtain symmetry results when the solutions are positive. |
| title | Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/1612.09245 |