An Orlicz-Sobolev space setting for quasilinear elliptic problems

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halidias.pdf (185.79 KB)
Date
2005-03-08
Authors
Halidias, Nikolaos
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Landesman-Laser conditions, Critical point theory, Nontrivial solution, Cerami (PS) condition, Mountain-Pass Theorem, Interpolation inequality
Citation
Halidias, N. (2005). An Orlicz-Sobolev space setting for quasilinear elliptic problems. <i>Electronic Journal of Differential Equations, 2005</i>(29), pp. 1-7.
URI
https://hdl.handle.net/10877/13603
Collections
Electronic Journal of Differential Equations