Non-existence of positive solutions for a higher order fractional equation
type: Item
instance of: scholarly article
title: Non-existence of positive solutions for a higher order fractional equation
zbMATH Open document ID: 1407.35203
author: Xuewei Cui
author: Mei Yu
published in: Discrete and Continuous Dynamical Systems
publication date: 2019-02-15T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35C15
zbMATH DE Number: 7024018
zbMATH Keywords: fractional Laplacian of higher order
zbMATH Keywords: non-existence of solutions
zbMATH Keywords: maximum principle
zbMATH Keywords: Liouville theorem
zbMATH Keywords: the method of moving planes in integral form
MaRDI profile type: Publication
full work available at URL: dcds.2019059
OpenAlex ID: W2903857174
cites work: Lévy Processes and Stochastic Calculus
cites work: Gradient estimates for harmonic and \(q\)-harmonic functions of symmetric stable processes.
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
cites work: Moving planes for nonlinear fractional Laplacian equation with negative powers
cites work: Representation formulae for solutions to some classes of higher order systems and related Liouville theorems
cites work: Liouville theorems involving the fractional Laplacian on a half space
cites work: A direct method of moving planes for the fractional Laplacian
cites work: Classification of solutions for an integral equation
cites work: Qualitative properties of solutions for an integral equation
cites work: Indefinite fractional elliptic problem and Liouville theorems
cites work: Monotonicity and symmetry of solutions to fractional Laplacian equation
cites work: Euler Equations, Navier-Stokes Equations and Turbulence
cites work: Hardy-Littlewood-Sobolev systems and related Liouville theorems
cites work: A Liouville theorem for non local elliptic equations
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: RADIAL SYMMETRY OF POSITIVE SOLUTIONS TO EQUATIONS INVOLVING THE FRACTIONAL LAPLACIAN
cites work: Symmetry and related properties via the maximum principle
cites work: Aleksandrov-Bakelman-Pucci type estimates for integro-differential equations
cites work: Q4380614
cites work: Q5666837
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Remark on some conformally invariant integral equations: the method of moving spheres
cites work: Fractional diffusion limit for collisional kinetic equations
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: A Liouville type theorem for Lane-Emden systems involving the fractional Laplacian
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
cites work: Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
cites work: A Harnack inequality for fractional Laplace equations with lower order terms
cites work: Fractional dynamics of systems with long-range interaction
cites work: Symmetry and non-existence of solutions for a nonlinear system involving the fractional Laplacian
Wikidata QID: Q128718046
DOI: 10.3934/DCDS.2019059
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description: scientific article; zbMATH DE number 7024018