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EnglishWe study the Neumann problem - div(alpha(vertical bar del u vertical bar)del u) + alpha(vertical bar u vertical bar)u = lambda f (x, u) in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R(N), lambda is a positive parameter, f is a continuous function, and alpha is a real-valued mapping defined on (0, infinity). The main result in this Note establishes that for all lambda in a prescribed open interval, this problem has infinitely many solutions that converge to zero in the Orlicz-Sobolev space W(1)L(Phi)(Omega).
| Titolo: | Infinitely many solutions for a class of nonlinear eigenvalue problem in Orlicz-Sobolev spaces | |
| Autori: | ||
| Data di pubblicazione: | 2011 | |
| Rivista: | ||
| Abstract: | We study the Neumann problem - div(alpha(vertical bar del u vertical bar)del u) + alpha(vertical bar u vertical bar)u = lambda f (x, u) in Omega, partial derivative u/partial derivative v = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R(N), lambda is a positive parameter, f is a continuous function, and alpha is a real-valued mapping defined on (0, infinity). The main result in this Note establishes that for all lambda in a prescribed open interval, this problem has infinitely many solutions that converge to zero in the Orlicz-Sobolev space W(1)L(Phi)(Omega). | |
| Handle: | http://hdl.handle.net/11570/1910219 | |
| Appare nelle tipologie: | 14.a.1 Articolo su rivista |
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