Journal
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 121, Issue -, Pages 336-369Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2014.11.007
Keywords
Nonlinear elliptic operator; Variable exponent; Variational methods; Continuous spectrum
Categories
Funding
- CNCS [PCE-47/2011]
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In this survey paper, by using variational methods, we are concerned with the qualitative analysis of solutions to nonlinear elliptic problems of the type {-div A(x, del u) = lambda vertical bar u vertical bar(q(x)-2)u in Omega u=0 on partial derivative Omega, where Omega is a bounded or an exterior domain of R-N and q is a continuous positive function. The results presented in this paper extend several contributions concerning the Lane-Emden equation and we focus on new phenomena which are due to the presence of variable exponents. (C) 2014 Elsevier Ltd. All rights reserved.
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