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STUDIA MATHEMATICA - Issue no. 4 / 2010 | |||||||
Article: |
ON A DEGENERATE AND SINGULAR ELLIPTIC EQUATION WITH CRITICAL EXPONENT AND NON-STANDARD GROWTH CONDITIONS. Authors: . |
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Abstract: In this paper we study a class of degenerate and singular elliptic equations involving critical exponents and non-standard growth conditions in the whole space We show the existence of at least one nontrivial solution using as main argument Ekeland’s variational principle. Key words and phrases. Degenerate and singular elliptic equation, weak solution, critical Sobolev exponent, variable exponent Lebesgue space. |
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