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Licensed Unlicensed Requires Authentication Published by De Gruyter June 9, 2010

On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems

  • A. Lyaghfouri
From the journal Journal of Applied Analysis
https://doi.org/10.1515/JAA.2008.165

Abstract

In this article we prove local interior and boundary Lipschitz continuity of the solutions of a general class of elliptic free boundary problems in divergence form.

Key words and phrases.: Free boundary; Lipschitz continuity
Received: 2007-02-23
Revised: 2008-03-07
Published Online: 2010-06-09
Published in Print: 2008-December

© Heldermann Verlag

From the journal
Journal of Applied Analysis
Journal of Applied Analysis
Volume 14 Issue 2
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Journal and Issue

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On the Lipschitz Continuity of the Solutions of a Class of Elliptic Free Boundary Problems
Distortion and Convolutional Theorems for Operators of Generalized Fractional Calculus Involving Wright Function
Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
Stability of Impulsive Hybrid Set-Valued Differential Equations with Delay by Perturbing Lyapunov Functions
Existence of Pareto Equilibria for Non-Compact Constrained Multi-Criteria Games
Uniform Algebras in the Cantor and Baire Spaces
Bounded Controllers for Uncertain Nonlinear Systems
On a Refinement Type Equation
Differential Polynomials Generated by Second Order Linear Differential Equations
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