On computation of solutions of fully nonlinear elliptic problems

DOI10.1016/0377-0427(92)90137-MzbMath0755.65080MaRDI QIDQ1195392

Philip Korman, Gilbert Choudury

Publication date: 26 October 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic equationssubsolutionsupersolutionnonlinear elliptic problemsmonotone iterationsquasilinear Dirichlet problemsassociated parabolic problemlong-time behavior of the solution

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

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Cites Work

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• Finite difference approximations to the Dirichlet problem for elliptic systems
• Monotone iterations for nonlinear obstacle problem
• On computation of solutions of elliptic systems
• Fully Nonlinear, Uniformly Elliptic Equations Under Natural Structure Conditions