Existence and uniqueness for viscosity solutions of degenerate quasilinear elliptic equations in rn

DOI10.1080/00036818908839880zbMath0705.35044OpenAlexW2067238937WikidataQ58255472 ScholiaQ58255472MaRDI QIDQ3485284

Richard T. II Newcomb, Yoshihito Tomita, Michael G. Crandall

Publication date: 1989

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818908839880

zbMATH Keywords

existenceuniquenessquasilinear elliptic equationsviscosity solutionsfully nonlinear

Mathematics Subject Classification ID

Related Items (5)

User’s guide to viscosity solutions of second order partial differential equations ⋮ Lipschitz continuity and convexity preserving for solutions of semilinear evolution equations in the Heisenberg group ⋮ Semiconvexity of Viscosity Solutions to Fully Nonlinear Evolution Equations via Discrete Games ⋮ Comparison principle for unbounded viscosity solutions of degenerate elliptic PDEs with gradient superlinear terms ⋮ A quasilinear elliptic equation in ℝ^N

Cites Work

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• Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
• Nonlinear elliptic equations with singular boundary conditions and stochastic control with state constraints. I: The model problem
• Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre. (Some remarks on second order quasilinear elliptic problems)
• Optimal control of diffusion processes and hamilton–jacobi–bellman equations part 2 : viscosity solutions and uniqueness
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's

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