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Weighted and Resonance Quasilinear Elliptic Problems with Jumping Nonlinearities |
Gao JIA1, Chun-yan DAI2, Jie CHEN3 |
1 College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China; 2 Shanghai Tianshan Second Middle School, Shanghai 200336, China; 3 Xiang Yifu Rong Second Middle School, Changsha 410000, China |
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Abstract In this paper, the existence of a nontrivial solution for a class of quasilinear elliptic equations with a disturbance term in a weighted Sobolev space is proved. The proofs rely on Galerkin method, Brouwer's theorem and a new weighted compact Sobolev-type embedding theorem established by V.L. Shapiro.
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Received: 22 March 2012
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Fund:Supported by the National Natural Science Foundation of China (No. 11171220)and Shanghai Leading Academic Discipline Project (XTKX2012). |
About author:: 35H30;35J50;65L60 |
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