TITLE

Multiplicity of Solutions for a Nonlinear Degenerate Problem in Anisotropic Variable Exponent Spaces

AUTHOR(S)
STANCU-DUMITRU, DENISA
PUB. DATE
January 2013
SOURCE
Asian Academy of Management Journal of Accounting & Finance;2013, Vol. 9 Issue 1, p117
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We study a nonlinear elliptic problem with Dirichlet boundary condition involving an anisotropic operator with variable exponents on a smooth bounded domain Ω ⊂ RN. For that equation we prove the existence of at least two nonnegative and nontrivial weak solutions. Our main result is proved using as main tools the Mountain Pass Theorem and a direct method in Calculus of Variation.
ACCESSION #
88053632

 

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