Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry
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Publication:3300604
DOI10.1007/978-3-030-34953-0_11zbMath1444.35023arXiv1901.03646OpenAlexW2910813410MaRDI QIDQ3300604
Bo Wang, Luc Nguyen, Yan-yan Li
Publication date: 29 July 2020
Published in: Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.03646
Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40) Comparison principles in context of PDEs (35B51) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
Related Items (5)
A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. I: The Heisenberg group ⋮ <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets ⋮ Differential inclusions for the Schouten tensor and nonlinear eigenvalue problems in conformal geometry ⋮ Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems
Cites Work
- Unnamed Item
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- Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms
- On fully nonlinear CR invariant equations on the Heisenberg group
- 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
- Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
- Strong maximum principle for semicontinuous viscosity solutions of nonlinear partial differential equations
- Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
- A family of degenerate elliptic operators: maximum principle and its consequences
- 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.
- Strong comparison principles for some nonlinear degenerate elliptic equations
- 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
- Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations
- Eigenvalue, maximum principle and regularity for fully non linear homogeneous operators
- Conformally invariant fully nonlinear elliptic equations and isolated singularities
- On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe
- On Spherical Image Maps Whose Jacobians Do Not Change Sign
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
- 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
- Conformally invariant Monge-Ampère equations: Global solutions
- 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
- Comparison Principles for Some Fully Nonlinear Sub-Elliptic Equations on the Heisenberg Group
- Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry
- Comparison Principle for Viscosity Solutions of Fully Nonlinear, Degenerate Elliptic Equations
- Local gradient estimates of solutions to some conformally invariant fully nonlinear equations
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