Multiple positive solutions for semi‐linear elliptic systems involving sign‐changing weight |
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| Authors: | Haining Fan Xiaochun Liu |
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| Institution: | 1. College of Sciences, China University of Mining and Technology, Xuzhou 221116, China;2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper, we study the multiplicity results of positive solutions for a semi‐linear elliptic system involving critical growth terms. With the help of Nehari manifold and Ljusternik‐Schnirelmann category, we investigate how the coefficient h(x) of the critical nonlinearity affects the number of positive solutions of that problem and get a relationship between the number of positive solutions and the topology of the global maximum set of h. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | critical Sobolev exponent semi‐linear elliptic system Ljusternik‐Schnirelmann category multiple positive solutions |
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