Multiple Solutions for a Class of -Laplacian Equations with Critical Growth and Indefinite Weight

Guoqing Zhang and Ziyan Yao

Abstract and Applied Analysis, 2014, vol. 2014, 1-14

Abstract:

Using the suitable Trudinger-Moser inequality and the Mountain Pass Theorem, we prove the existence of multiple solutions for a class of -Laplacian equations with critical growth and indefinite weight , , , , where , is an indefinite weight, behaves like and does not satisfy the Ambrosetti-Rabinowitz condition, and .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:942092

DOI: 10.1155/2014/942092

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