On the shape of solutions to an integral system related to the weighted Hardy–Littlewood–Sobolev inequality
| Autor: | Michiaki Onodera |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Mathematics::Functional Analysis
Inequality Mathematics::Complex Variables media_common.quotation_subject Applied Mathematics Mathematical analysis Symmetry in biology Systems of integral equations Mathematics::Analysis of PDEs Mathematics::Classical Analysis and ODEs Infinity Mathematics::Algebraic Topology Sobolev inequality Radial symmetry Log sum inequality Asymptotic profiles Analysis Mathematics media_common The weighted Hardy–Littlewood–Sobolev inequality |
| Zdroj: | Journal of Mathematical Analysis and Applications. 389(1):498-510 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2011.12.004 |
| Popis: | We study the Euler–Lagrange system for a variational problem associated with the weighted Hardy–Littlewood–Sobolev inequality. We show that all the nonnegative solutions to the system are radially symmetric and have particular profiles around the origin and the infinity. This paper extends previous results obtained by other authors to the general case. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect