Strong comparison principles for some nonlinear degenerate elliptic equations

DOI10.1016/S0252-9602(18)30833-6zbMath1438.35144arXiv1804.01056MaRDI QIDQ2313160

Bo Wang, Yan-yan Li

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.01056

zbMATH Keywords

conformal invariancestrong comparison principleHopf lemmadegenerate ellipticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Invariance and symmetry properties for PDEs on manifolds (58J70) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51)

Related Items (4)

A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group ⋮ Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry ⋮ A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds ⋮ New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs

Cites Work

• Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
• Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations
• The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations
• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Degenerate conformally invariant fully nonlinear elliptic equations
• Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations
• On the strong maximum principle for fully nonlinear degenerate elliptic equations
• Conformal geometry, contact geometry, and the calculus of variations
• Riesz capacity, maximum principle and removable sets of fully nonlinear second order elliptic operators.
• Maximum principle and generalized principal eigenvalue for degenerate elliptic operators
• Remarks on the comparison principle for quasilinear PDE with no zeroth order terms
• Comparison principle and Liouville type results for singular fully nonlinear operators
• Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• User’s guide to viscosity solutions of second order partial differential equations
• On some conformally invariant fully nonlinear equations
• The Weak Maximum Principle for Degenerate Elliptic Operators in Unbounded Domains
• Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
• Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry
• Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations
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