Multiple solutions for quasilinear elliptic problems with concave-convex nonlinearities in Orlicz–Sobolev spaces

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作者
Shujun Wu
机构
[1] China University of Petroleum,College of Science
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关键词
Orlicz–Sobolev spaces; Cerami sequence; Mountain pass theorem; Weak solutions; Ekeland variational principle; 35J60; 35J70; 46B20; 58E05;
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摘要
Using variational arguments, we establish the existence of two nontrivial solutions for quasilinear elliptic problems in Orlicz–Sobolev spaces, where the nonlinear terms exhibit the combined effects of concave and convex without the Ambrosetti–Rabinowitz type condition.
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