Existence of a unique solution to a quasilinear elliptic equation

DOI10.1016/J.JMAA.2011.03.046zbMath1216.35058OpenAlexW1964826143MaRDI QIDQ536268

Diane Denny

Publication date: 16 May 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.046

zbMATH Keywords

existenceuniquenessquasilinear elliptic equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Quasilinear elliptic equations (35J62) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Existence of a unique solution to an elliptic partial differential equation when the average value is known ⋮ Unnamed Item

Cites Work

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• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Applications of analysis on nilpotent groups to partial differential equations

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