-fractional Kirchhoff equations involving critical nonlinearities

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• 作者：Alessio Fiscella^a ; ^{fiscella@ime.unicamp.br} ; Patrizia Pucci^b ; ^{patrizia.pucci@unipg.it}
• 关键词：Stationary Kirchhoff problems ; Nonlocal pp-Laplacian operators ; Hardy coefficients ; Critical exponents
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：June 2017
• 年：2017
• 卷：35
• 期：Complete
• 页码：350-378
• 全文大小：830 K
• 卷排序：35

文摘

The paper deals with Kirchhoff type equations on the whole space RNRN, driven by the pp-fractional Laplace operator, involving critical Hardy–Sobolev nonlinearities and nonnegative potentials. We present different variational approaches to overcome the lack of compactness at critical levels, due to the presence of critical terms as well as the possibly degenerate nature of the Kirchhoff problem.