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| In this talk, we show the existence results of nontrivial nonnegative solutions for degenerate p(x)-Laplacian problems with weighted convex and cocave terms which have a parameter. The proofs are mainly based on variational methods, Ekeland principle, Mountain pass lemma and Fountain theorem. We investigate the relationship between the growth rates of principal part, convex and concave part which can not be appeared in p-Laplacian problems. |
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