GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
29/10/2013
29/10/2013
2012
|
| Resumo |
We study an elliptic system of the form Lu = vertical bar v vertical bar(p-1) v and Lv = vertical bar u vertical bar(q-1) u in Omega with homogeneous Dirichlet boundary condition, where Lu := -Delta u in the case of a bounded domain and Lu := -Delta u + u in the cases of an exterior domain or the whole space R-N. We analyze the existence, uniqueness, sign and radial symmetry of ground state solutions and also look for sign changing solutions of the system. More general non-linearities are also considered. F.R.S.FNRS CNPq CAPES [4316/07-0] FAPESP [07/54872-8] Fundacao para a Ciencia e Tecnologia (FCT) |
| Identificador |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 364, n. 1, pp. 447-491, JAN, 2012 0002-9947 |
| Idioma(s) |
eng |
| Publicador |
AMER MATHEMATICAL SOC PROVIDENCE |
| Relação |
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY |
| Direitos |
openAccess Copyright AMER MATHEMATICAL SOC |
| Palavras-Chave | #ELLIPTIC SYSTEM #GROUND STATE SOLUTION #POSITIVE SOLUTION #SIGN CHANGING SOLUTION #SYMMETRY #POSITIVE SOLUTIONS #EXISTENCE #SYMMETRY #UNIQUENESS #SYMMETRIZATION #MATHEMATICS |
| Tipo |
article original article publishedVersion |
