Removability of a Level Set for Solutions of Quasilinear Equations

DOI10.1081/PDE-200050030zbMath1115.35029WikidataQ110037990 ScholiaQ110037990MaRDI QIDQ4678925

Peter Lindqvist, Petri Juutinen

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Viscosity solutionsQuasilinear equationsRemovability

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate elliptic equations (35J70) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (5)

Equivalence of viscosity and weak solutions for the normalized \(p(x)\)-Laplacian ⋮ On viscosity and weak solutions for non-homogeneous \(p\)-Laplace equations ⋮ Equivalence of viscosity and weak solutions for the \(p(x)\)-Laplacian ⋮ Nonsmooth convex functionals and feeble viscosity solutions of singular Euler-Lagrange equations ⋮ Removable singularities of solutions of elliptic equations

Cites Work

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• Counterexamples for unique continuation
• Smoothness of Lipschitz-continuous graphs with nonvanishing Levi curvature
• A theorem of Radó's type for the solutions of a quasi-linear equation
• Generalized motion of noncompact hypersurfaces with velocity having arbitrary growth on the curvature tensor
• On the definition of viscosity solutions for parabolic equations
• On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation
• Some Extension Results Concerning Harmonic Functions
• Functions that are Harmonic or Zero
• User’s guide to viscosity solutions of second order partial differential equations

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