The aim of this paper is investigating the multiplicity of weak solutions of the quasi-linear elliptic equation -Delta(p)u + V (x)vertical bar u vertical bar(p-2)u = g(x, u) in R-N, where 1 < p < +infinity, the nonlinearity g behaves as vertical bar u vertical bar(p-2)u at infinity and V is a potential satisfying suitable assumptions so that an embedding theorem for weighted Sobolev spaces holds. Both the non-resonant and resonant cases are analyzed.
Multiplicity results for a class of asymptotically p-linear equations on R^N / Bartolo, R; Candela, Am; Salvatore, A. - In: COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. - ISSN 0219-1997. - STAMPA. - 18:1(2016). [10.1142/S0219199715500315]
Multiplicity results for a class of asymptotically p-linear equations on R^N
Bartolo, R;
2016-01-01
Abstract
The aim of this paper is investigating the multiplicity of weak solutions of the quasi-linear elliptic equation -Delta(p)u + V (x)vertical bar u vertical bar(p-2)u = g(x, u) in R-N, where 1 < p < +infinity, the nonlinearity g behaves as vertical bar u vertical bar(p-2)u at infinity and V is a potential satisfying suitable assumptions so that an embedding theorem for weighted Sobolev spaces holds. Both the non-resonant and resonant cases are analyzed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
