Symmetry of viscosity solutions for fully nonlinear parabolic equations

DOI10.1016/j.nonrwa.2015.11.002zbMath1330.35072OpenAlexW2180575947MaRDI QIDQ899620

Limei Dai

Publication date: 30 December 2015

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2015.11.002

zbMATH Keywords

radial symmetrymoving plane methodpunctured cylinder

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Maximum principles in context of PDEs (35B50) Viscosity solutions to PDEs (35D40) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (2)

Radial solutions for fully nonlinear elliptic equations of Monge-Ampère type ⋮ Symmetry results for viscosity solutions of fully nonlinear equations in annular and exterior domains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry and monotonicity of integral equation systems
• A characteristic property of spheres
• Symmetry results for viscosity solutions of fully nonlinear uniformly elliptic equations
• Symmetry and related properties via the maximum principle
• On the Liouville property for fully nonlinear equations
• Remarks on the strong maximum principle for viscosity solutions to fully nonlinear parabolic equations
• The maximum principles and symmetry results for viscosity solutions of fully nonlinear equations
• Some remarks on singular solutions of nonlinear elliptic equations. I
• A symmetry problem in potential theory
• Radial symmetry of positive solutions of nonlinear elliptic equations in Rⁿ
• Viscosity Solutions of Hamilton-Jacobi Equations
• Monotonicity and symmetry of solutions of fully nonlinear elliptic equations on unbounded domains
• User’s guide to viscosity solutions of second order partial differential equations
• Some Remarks on Singular Solutions of Nonlinear Elliptic Equations III: Viscosity Solutions Including Parabolic Operators
• On the method of moving planes and the sliding method
• Liouville-type theorems for fully nonlinear elliptic equation in half spaces

This page was built for publication: Symmetry of viscosity solutions for fully nonlinear parabolic equations