Liouville property of fractional Lane-Emden equation in general unbounded domain

DOI10.1515/ANONA-2020-0147zbMath1465.35218OpenAlexW3082493138MaRDI QIDQ831052

Yuanhong Wei, Ying Wang

Publication date: 10 May 2021

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0147

zbMATH Keywords

non-existence of solutionsfractional Lane-Emden equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Related Items (4)

Nonlinear fractional and singular systems: Nonexistence, existence, uniqueness, and Hölder regularity ⋮ On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\) ⋮ Competing power problem involving the half Laplacian ⋮ Lipschitz estimates for partial trace operators with extremal Hessian eigenvalues

Cites Work

• The Pohozaev identity for the fractional Laplacian
• On the classification of solutions of the Lane-Emden equation on unbounded domains of \(\mathbb R^N\)
• Large solutions to elliptic equations involving fractional Laplacian
• Liouville theorem for the fractional Lane-Emden equation in an unbounded domain
• Nonexistence results for a class of fractional elliptic boundary value problems
• On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures
• Nonexistence of positive supersolutions to a class of semilinear elliptic equations and systems in an exterior domain
• Liouville theorems involving the fractional Laplacian on a half space
• Liouville-type theorems for elliptic equations in half-space with mixed boundary value conditions
• The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
• Optimal Liouville theorems for supersolutions of elliptic equations with the Laplacian
• Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
• Variational Methods for Nonlocal Fractional Problems
• RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
• Classification of solutions for an integral equation
• Monotonicity and nonexistence results for some fractional elliptic problems in the half-space
• Nonexistence results and estimates for some nonlinear elliptic problems

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