Abstract
In this paper, we consider the existence of multiple solutions for the following p(x)-Laplacian equations with critical Sobolev growth conditions We show the existence of infinitely many pairs of solutions by applying the Fountain Theorem and the Dual Fountain Theorem respectively. We also present a variant of the concentration-compactness principle, which is of independent interest.
Original language | American English |
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Journal | Taiwanese Journal of Mathematics |
Volume | 17 |
DOIs | |
State | Published - Dec 1 2013 |
Keywords
- Critical exponent
- Integral functional
- Variable exponent Sobolev space
- p(x)-Laplacian
DC Disciplines
- Education
- Mathematics