Geodesic
An Orlicz-Sobolev space setting for quasilinear elliptic problems
Electronic journal of differential equations, Tome 2005 (2005)
In this paper we give two existence theorems for a class of elliptic problems in an Orlicz-Sobolev space setting concerning both the sublinear and the superlinear case with Neumann boundary conditions. We use the classical critical point theory with the Cerami (PS)-condition.
Classification : 32J15, 34J89, 35J60
Keywords: landesman-laser conditions, critical point theory, nontrivial solution, cerami (PS) condition, mountain-pass theorem, interpolation inequality 
@article{EJDE_2005__2005__a218,
     author = {Halidias,  Nikolaos},
     title = {An {Orlicz-Sobolev} space setting for quasilinear elliptic problems},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1129.35382},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a218/}
}
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%A Halidias,  Nikolaos
%T An Orlicz-Sobolev space setting for quasilinear elliptic problems
%J Electronic journal of differential equations
%D 2005
%V 2005
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a218/
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%F EJDE_2005__2005__a218
Halidias,  Nikolaos. An Orlicz-Sobolev space setting for quasilinear elliptic problems. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a218/