ON NONLOCAL NONLINEAR ELLIPTIC PROBLEMS WITH THE FRACTIONAL LAPLACIAN

DOI10.1017/S0017089518000538zbMath1429.35092arXiv1501.00070OpenAlexW2964305751WikidataQ128501756 ScholiaQ128501756MaRDI QIDQ5203854

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Publication date: 9 December 2019

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00070

zbMATH Keywords

positive solutionsfractional \(\alpha\)-Laplaciansemilinear nonlocal elliptic equation

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)

Related Items (5)

Fractional interpolation inequality and radially symmetric ground states ⋮ Extremals to new Gagliardo-Nirenberg inequality and ground states ⋮ Existence of ground states of fractional Schrödinger equations ⋮ On nonlocal Hénon type problems with the fractional Laplacian ⋮ On the Poisson equation of \(p\)-Laplacian and the nonlinear Hardy-type problems

Cites Work

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• A direct method of moving planes for the fractional Laplacian
• Symmetry and regularity of extremals of an integral equation related to the Hardy-Sobolev inequality
• Some results on subelliptic equations
• Nonlinear ground state representations and sharp Hardy inequalities
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Classification of solutions of some nonlinear elliptic equations
• Boundedness of solutions to Ginzburg–Landau fractional Laplacian equation
• Regularity theory for fully nonlinear integro-differential equations
• Global and local behavior of positive solutions of nonlinear elliptic equations

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