University of the Aegean
Department of Statistics and Actuarial Science
Karlovassi, 83200, Samos, Greece
email: nick@aegean.gr
Nikolaos Halidias
Abstract:
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.
Submitted October 14, 2004. Published March 8, 2005.
Math Subject Classifications: 32J15, 34J89, 35J60.
Key Words: Landesman-Laser conditions; critical point theory;
nontrivial solution; Cerami (PS) condition; Mountain-Pass Theorem;
interpolation inequality.
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Nikolaos Halidias University of the Aegean Department of Statistics and Actuarial Science Karlovassi, 83200, Samos, Greece email: nick@aegean.gr |
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