Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS

Full text
Author(s):
Bonheure, Denis [1] ; Dos Santos, Ederson Moreira [2] ; Ramos, Miguel [3]
Total Authors: 3
Affiliation:
[1] Univ Libre Brussels, Dept Math, B-1050 Brussels - Belgium
[2] Univ Sao Paulo, Inst Ciencias Matemat & Comp, BR-13560970 Sao Carlos, SP - Brazil
[3] Univ Lisbon, Fac Sci, CMAF, P-1649003 Lisbon - Portugal
Total Affiliations: 3
Document type: Journal article
Source: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 364, n. 1, p. 447-491, JAN 2012.
Web of Science Citations: 27
Abstract

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. (AU)