On Liouville type theorems for fully nonlinear elliptic equations with gradient term
type: Item
instance of: scholarly article
title: On Liouville type theorems for fully nonlinear elliptic equations with gradient term
title: The Dirichlet elliptic problem involving regional fractional Laplacian
zbMATH Open document ID: 1431.35032
zbMATH Open document ID: 1394.35549
DOI: 10.1063/1.5046685
DOI: 10.1016/J.JDE.2013.06.009
author: Huyuan Chen
author: P. Felmer
published in: Journal of Differential Equations
published in: Journal of Mathematical Physics
publication date: 2014-02-06T00:00:00Z
publication date: 2018-08-27T00:00:00Z
full work available at URL: https://arxiv.org/abs/1509.05838
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 35B50
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35A02
zbMATH DE Number: 6256037
zbMATH DE Number: 6927852
zbMATH Keywords: Hadamard property
zbMATH Keywords: Liouville type theorem
zbMATH Keywords: viscosity solution
zbMATH Keywords: fully nonlinear elliptic PDE
zbMATH Keywords: gradient term
zbMATH Keywords: Pucci's operator
MaRDI profile type: Publication
OpenAlex ID: W1971345452
OpenAlex ID: W2963712298
arXiv ID: 1509.05838
cites work: A priori estimates, positivity results, and nonexistence theorems for quasilinear degenerate elliptic inequalities
cites work: Fundamental solutions of homogeneous fully nonlinear elliptic equations
cites work: Sharp Liouville results for fully nonlinear equations with power-growth nonlinearities
cites work: Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
cites work: On the strong maximum principle for fully nonlinear degenerate elliptic equations
cites work: Superlinear indefinite elliptic problems and nonlinear Liouville theorems
cites work: The speed of propagation for KPP type problems. I: Periodic framework
cites work: Analysis of the periodically fragmented environment model. I: Species persistence
cites work: Liouville-type results for semilinear elliptic equations in unbounded domains
cites work: Hadamard and Liouville Type Results for Fully Nonlinear Partial Differential Inequalities
cites work: On the Liouville property for fully nonlinear equations
cites work: Fundamental solutions and two properties of elliptic maximal and minimal operators
cites work: Fundamental solutions and Liouville type theorems for nonlinear integral operators
cites work: Fundamental solutions for a class of Isaacs integral operators
cites work: Global and local behavior of positive solutions of nonlinear elliptic equations
cites work: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
cites work: Existence and non-existence results for fully nonlinear elliptic systems
cites work: Non-existence of positive solutions of fully nonlinear elliptic equations in unbounded domains
cites work: Critère d'existence de solutions positives pour des équations semi- linéaires non monotones. (Existence condition of positive solutions of non-monotonic semilinear equations)
cites work: Nonlinear problems related to the Thomas-Fermi equation
cites work: Censored stable processes
cites work: Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
cites work: Green function estimate for censored stable processes
cites work: Semilinear fractional elliptic equations involving measures
cites work: Semilinear fractional elliptic equations with gradient nonlinearity involving measures
cites work: Weakly and strongly singular solutions of semilinear fractional elliptic equations
cites work: Two-sided heat kernel estimates for censored stable-like processes
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Nonlocal problems with Neumann boundary conditions
cites work: Q2930843
cites work: A fractional order Hardy inequality
cites work: Boundary singularities of solutions of some nonlinear elliptic equations
cites work: Integration by parts formula for regional fractional Laplacian
cites work: Reflected symmetric \(\alpha\)-stable processes and regional fractional Laplacian
cites work: Q4266425
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: Mountain pass solutions for non-local elliptic operators
cites work: Fractional Laplacian: Pohozaev identity and nonexistence results
cites work: The Dirichlet problem for the fractional Laplacian: regularity up to the boundary
cites work: Nonexistence Results for Nonlocal Equations with Critical and Supercritical Nonlinearities
cites work: Elliptic Equations Involving Meausres
description: scientific article; zbMATH DE number 6927852
alternative label: The Dirichlet elliptic problem involving regional fractional Laplacian