Infinitely many solutions for some nonlinear elliptic equations in ℝN |
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| Authors: | Xiaohui Yu |
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| Affiliation: | Institute for Advanced Study, Shenzhen University, Shenzhen Guangdong 518060, People's Republic of China |
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| Abstract: | In this paper, we study the multiple solutions for the semilinear elliptic equation  where  , 1<p<(N + 2)/(N ? 2) for  and p>1 for N = 2. We will prove that the problem possesses infinitely many solutions under some assumptions on Q(x). Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | elliptic equation multiple solutions (PS) condition |
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