artículo
Mountain pass type solutions for quasilinear elliptic inclusions
Fecha
2002Registro en:
10.1142/S0219199702000798
0219-1997
WOS:000179610600001
Autor
Clement, P
Garcia Huidobro, M
Manasevich, R
Institución
Resumen
We establish the existence of weak solutions to the inclusion problem [GRAPHICS] where Omega is a bounded domain in R-N, g is an element of C((&UOmega;) over bar x R, R), and psi is an element of R x R is a maximal monotone odd graph. Under suitable conditions on psi, g (which reduce to subcritical and superlinear conditions in the case of powers) we obtain the existence of non-trivial solutions which are of mountain pass type in an appropriate not necessarily reflexive Orlicz Sobolev space. The proof is based on a version of the Mountain Pass Theorem for a non-smooth case.