Geodesic
An Orlicz-Sobolev space setting for quasilinear elliptic problems
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Halidias, Nikolaos},
     title = {An {Orlicz-Sobolev} space setting for quasilinear elliptic problems},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a18/}
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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__a18/