Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 73, Issue 12, Pages 3788-3804Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2010.08.005
Keywords
Variable exponent system; Variable exponent Sobolev spaces; Leray-Schauder degree; Nehari manifold
Categories
Funding
- National Science Foundation of China [10701066, 10926075, 10971087]
- China Postdoctoral Science Foundation [20090460969]
- Natural Science Foundation of Henan Education Committee [2008-755-65]
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In this paper, we study the following variable exponent system { -div(vertical bar del u vertical bar(p(x)-2)del u) + a(x) vertical bar u vertical bar(p(x)-2) u = f(x, u, v, lambda) in Omega, -div(vertical bar del v vertical bar(p(x)-2)del v) + b(x) vertical bar v vertical bar(p(x)-2) v = g(x, u, v, lambda) in Omega, B(u,v) = 0 under some various conditions, we present several results for the existence of multiple nontrivial solutions. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
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