Nehari manifoldsign-changing weight functions35J6035J5035R11In this paper, we consider a fractional p-Laplacian system with both concave–convex nonlinearities and sign-changing weight functions in bounded domains: ( Δ ) p s u = λ f ( x ) | u | q 2 u + 2 αα + β h ( x ) ...
In this paper, we consider a fractional p-Laplacian system with both concave-convex nonlinearities and sign-changing weight functions in bounded domains. With the help of the Nehari\\ manifold, we prove that the system has at least two nontrivial solutions when the pair of the parameters (\\...
X Tricoche,G Kindlmann,Westin, C.-F - 《IEEE Transactions on Visualization & Computer Graphics》 被引量: 76发表: 2008年 The Nehari manifold for a fractional p-Laplacian system involving concave-convex nonlinearities In this article, we are concerned with the multipl Chen,Wenjing,Deng,... - ...
Nehari manifoldEmbeddings results35R1147D2035S1535J35In the present paper, we study the existence of two non-negative solutions for a class of fractional p ( x ,.)-Laplacian problems with non-negative weight functions. The main tool is the Nehari manifold approach. Moreover, under some ...
摘要: In this paper, we study the following critical system with fractional Laplacian: 查看全部>> 关键词: Fractional Laplacian system Nehari manifold least energy solution 收藏 引用 批量引用 报错 分享 全部来源 求助全文 万方 相似文献On a doubly critical system involving fractional Laplacian with ...
We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace and establish a Liouville-type theorem for a subcritical nonlinear problem, involving a fractional...
Feng, X.: Ground state solutions for Schrödinger-Poisson systems involving the fractional Laplacian with critical exponent. J. Math. Phys. 60(5), 051511 (2019) Article MathSciNet Google Scholar Teng, K.: Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson ...
In this paper, we establish the Gagliardo–Nirenberg inequality under Lorentz norms for fractional Laplacian. Based on special cases of this inequality und... H Hajaiej,X Yu,Z Zhai - 《Journal of Mathematical Analysis & Applications》 被引量: 62发表: 2012年 ...
In this sense the present work may be seen as the extension of some classical results for the Laplacian to the case of non-local fractional operators... Servadei,Raffaella - 《Advances in Nonlinear Analysis》 被引量: 137发表: 2013年 An invariant for Yamabe-type flows with applications to sc...
We prove optimal regularity results inLp\\documentclass[12pt]{minimal} \\usepackage{amsmath} \\usepackage{wasysym} \\usepackage{amsfonts} \\usepackage{amssymb} \\usepackage{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$$L_p...