On the comparison principle for second order elliptic equations without first and zeroth order terms

Karl K. Brustad

Type: Article

Publication Date: 2022-12-13

Citations: 5

DOI: https://doi.org/10.1007/s00030-022-00819-7

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Nonlinear Differential Equations and Applications NoDEA - View
arXiv (Cornell University) - View - PDF

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+	Counterexamples to the comparison principle in the special Lagrangian potential equation	2024	Karl K. Brustad
+	Comparison principles by monotonicity and duality for constant coefficient nonlinear potential theory and PDEs	2020	Marco Cirant F. Reese Harvey H. Blaine Lawson Kevin R. Payne
+ PDF Chat	Sobolev gradients of viscosity supersolutions	2023	Karl K. Brustad
+	Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity	2023	Marco Cirant Kevin R. Payne Davide Francesco Redaelli
+	Comparison principles for nonlinear potential theories and PDEs with fiberegularity and sufficient monotonicity	2023	Marco Cirant Kevin R. Payne Davide Francesco Redaelli

Works Cited by This (15)

Action	Title	Year	Authors
+	Topologies on Closed and Closed Convex Sets	1993	Gerald Beer
+	Viscosity solutions of fully nonlinear second-order elliptic partial differential equations	1990	Hitoshi Ishii Pierre‐Louis Lions
+	On viscosity solutions of fully nonlinear equations with measurable ingredients	1996	Luis Caffarelli Michael G. Crandall Maciej Kocan A. Święch
+	User’s guide to viscosity solutions of second order partial differential equations	1992	Michael G. Crandall Hitoshi Ishii Pierre-Louis Lions
+	Comparison principles for viscosity solutions of elliptic equations via fuzzy sum rule	2005	Yousong Luo Andrew Eberhard
+ PDF Chat	On the Dirichlet problem for non-totally degenerate fully nonlinear elliptic equations	2006	Martino Bardi Paola Mannucci
+ PDF Chat	On the general notion of fully nonlinear second-order elliptic equations	1995	Н. В. Крылов
+ PDF Chat	Dirichlet duality and the nonlinear Dirichlet problem	2008	F. Reese Harvey H. Blaine Lawson
+	On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's	1989	Hitoshi Ishii
+ PDF Chat	On viscosity solutions to the Dirichlet problem for elliptic branches of inhomogeneous fully nonlinear equations	2017	Marco Cirant Kevin R. Payne