Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 418, Issue 2, Pages 812-827Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2014.04.016
Keywords
p(x)-Laplacian; Variable exponent Sobolev spaces
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Under appropriate growth conditions on the nonlinearity, the existence of multiple solutions for nonlinear elliptic Dirichlet problems with variable exponent is established. The approach is based on variational methods. Some applications and examples illustrate the obtained results. (C) 2014 Elsevier Inc. All rights reserved.
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