Artículos de revistas
GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS
Fecha
2012Registro en:
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, PROVIDENCE, v. 364, n. 1, pp. 447-491, JAN, 2012
0002-9947
Autor
Bonheure, Denis
Santos, Ederson Moreira dos
Ramos, Miguel
Institución
Resumen
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.