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

Autor(es)

Bonheure, Denis ^[1] ; Dos Santos, Ederson Moreira ^[2] ; Ramos, Miguel ^[3]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; v. 364, n. 1, p. 447-491, JAN 2012.
• Citações Web of Science: 27

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. (AU)

• Processo FAPESP: 07/54872-8 - Problemas elipticas nao-lineares.
• Beneficiário: Ederson Moreira dos Santos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado