Existence and multiplicity of positive solutions for a class of critical fractional Laplacian systems

被引:0
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作者
Rachid Echarghaoui
Moussa Khouakhi
Mohamed Masmodi
机构
[1] Ibn Tofail University,Department of Mathematics (LAGA), Faculty of Sciences
[2] Sidi Mohamed Ben Abdellah,Department of Mathematics (LAMA), Faculty of Sciences
关键词
Fractional Laplacian; Critical elliptic problem; Nehari manifold; Positive solutions; Concave-convex nonlinearities; 35J50; 35R11; 35B33;
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摘要
In this paper, we consider a class of fractional laplacian systems with critical growth in a bounded domain. We study the effect of the coefficient of the critical nonlinearity on the existence and multiplicity of positive solutions.
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页码:813 / 835
页数:22
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