Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system
type: Item
instance of: scholarly article
title: Maximum principles and Liouville results for uniformly elliptic nonlocal Bellman system
zbMATH Open document ID: 1501.35445
author: Shaolong Peng
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2022-10-28T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B06
Mathematics Subject Classification ID: 35B51
Mathematics Subject Classification ID: 35B53
Mathematics Subject Classification ID: 35J47
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 62F30
zbMATH DE Number: 7608947
zbMATH Keywords: Bellman system
zbMATH Keywords: maximum principles
zbMATH Keywords: method of moving planes
zbMATH Keywords: monotonicity
zbMATH Keywords: symmetry
zbMATH Keywords: Liouville-type results
MaRDI profile type: Publication
full work available at URL: j.na.2022.113141
OpenAlex ID: W4298151943
cites work: An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control
cites work: Monotonicity of solutions for some nonlocal elliptic problems in half-spaces
cites work: Inequalities for second-order elliptic equations with applications to unbounded domains. I
cites work: Q4389752
cites work: On the method of moving planes and the sliding method
cites work: Q4888858
cites work: Principal eigenvalues of a class of nonlinear integro-differential operators
cites work: A concave-convex elliptic problem involving the fractional Laplacian
cites work: Positive solutions of nonlinear problems involving the square root of the Laplacian
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Regularity theory for fully nonlinear integro-differential equations
cites work: Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation
cites work: Fractional Laplacian in conformal geometry
cites work: Classification of solutions of some nonlinear elliptic equations
cites work: Moving planes, moving spheres, and a priori estimates.
cites work: Maximum principles for the fractional p-Laplacian and symmetry of solutions
cites work: A direct method of moving planes for the fractional Laplacian
cites work: The Fractional Laplacian
cites work: Classification of solutions for an integral equation
cites work: Symmetry and non-existence of positive solutions for fractional \(p\)-Laplacian systems
cites work: Direct methods on fractional equations
cites work: The sliding methods for the fractional \(p\)-Laplacian
cites work: The maximum principles for fractional Laplacian equations and their applications
cites work: Euler Equations, Navier-Stokes Equations and Turbulence
cites work: Liouville type theorems, a priori estimates and existence of solutions for sub-critical order Lane-Emden-Hardy equations
cites work: Classification of nonnegative classical solutions to third-order equations
cites work: Maximum principles and the method of moving planes for the uniformly elliptic nonlocal Bellman operator and applications
cites work: Direct methods for pseudo-relativistic Schrödinger operators
cites work: On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
cites work: Existence and non-existence results for semilinear elliptic problems in unbounded domains
cites work: Classical solutions of fully nonlinear, convex, second-order elliptic equations
cites work: Uniqueness of radial solutions for the fractional Laplacian
cites work: Liouville Type Theorems for Positive Solutions of Elliptic System in ℝN
cites work: Symmetry and monotonicity of nonnegative solutions to pseudo-relativistic Choquard equations
cites work: Classification of solutions to mixed order conformally invariant systems in \({\mathbb{R}}^2\)
cites work: Monotonicity and nonexistence of positive solutions for pseudo-relativistic equation with indefinite nonlinearity
cites work: Q3910361
cites work: Monotonicity and Symmetry of Solutions of Fully Nonlinear Elliptic Equations on Bounded domains
cites work: Liouville theorems for fractional and higher-order Hénon–Hardy systems on ℝn
cites work: Existence and Liouville theorems for coupled fractional elliptic system with Stein-Weiss type convolution parts
cites work: Boundary regularity for fully nonlinear integro-differential equations
cites work: Regularity of the obstacle problem for a fractional power of the laplace operator
DOI: 10.1016/J.NA.2022.113141
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description: scientific article; zbMATH DE number 7608947