Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian

Sundararaja Ramaswamy

Displaying similar documents to “Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian”

Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.

Neil S. Trudinger (1988)

Revista Matemática Iberoamericana

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We prove comparison principles for viscosity solutions of nonlinear second order, uniformly elliptic equations, which extend previous results of P. L. Lions, R. Jensen and H. Ishii. Some basic pointwise estimates for classical solutions are also extended to continuous viscosity solutions.

Problems involving $p$ -Laplacian type equations and measures

Tero Kilpeläinen (2002)

Mathematica Bohemica

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In this paper I discuss two questions on $p$ -Laplacian type operators: I characterize sets that are removable for Hölder continuous solutions and then discuss the problem of existence and uniqueness of solutions to $- div (| \nabla u |^{p - 2} \nabla u) = μ$ with zero boundary values; here $μ$ is a Radon measure. The joining link between the problems is the use of equations involving measures.

Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form

Cristian E. Gutiérrez, Ermanno Lanconelli (2004)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We compare several definitions of weak solutions to second order partial differential equations with nonnegative characteristic form.

Note on infinity-superharmonic functions.

Peter Lindqvist, Juan Manfredi (1997)

Revista Matemática de la Universidad Complutense de Madrid

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On the fusion problem for degenerate elliptic equations II

Stephen M. Buckley, Pekka Koskela (1999)

Commentationes Mathematicae Universitatis Carolinae

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Let $F$ be a relatively closed subset of a Euclidean domain $Ω$ . We investigate when solutions $u$ to certain elliptic equations on $Ω ∖ F$ are restrictions of solutions on all of $Ω$ . Specifically, we show that if $\partial F$ is not too large, and $u$ has a suitable decay rate near $F$ , then $u$ can be so extended.

Displaying similar documents to “Maximum principle for viscosity sub solutions and viscosity sub solutions of the Laplacian”

Comparison principles and pointwise estimates for viscosity solutions of nonlinear elliptic equations.

Problems involving p -Laplacian type equations and measures

Classical, viscosity and average solutions for PDE’s with nonnegative characteristic form

Note on infinity-superharmonic functions.

On the fusion problem for degenerate elliptic equations II

Problems involving $p$ -Laplacian type equations and measures