Construction of solutions via local Pohozaev identities |
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Authors: | Shuangjie Peng Chunhua Wang Shusen Yan |
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Institution: | 1. School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, PR China;2. Department of Mathematics, The University of New England, Armidale, NSW 2351, Australia |
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Abstract: | This paper deals with the following nonlinear elliptic equation where , is a bounded non-negative function in . By combining a finite reduction argument and local Pohozaev type of identities, we prove that if and has a stable critical point with and , then the above problem has infinitely many solutions. This paper overcomes the difficulty appearing in using the standard reduction method to locate the concentrating points of the solutions. |
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Keywords: | Elliptic equations with critical growth Local Pohozaev identities Construction of positive solutions |
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