Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 403, Issue 1, Pages 143-154Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2013.02.025
Keywords
Quasilinear elliptic equations; Critical growth; Variational methods
Categories
Funding
- INCT-MAT, PROCAD, CNPq/Brazil [620150/2008-4, 303080/2009-4]
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In this work, we study the existence and multiplicity of weak solutions for a class of problems involving the p(x)-Laplacian operator in a bounded domain, where the nonlinearity has a critical growth. The main tool used is the variational method combined with the genus theory for even functionals. (C) 2013 Elsevier Inc. All rights reserved.
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