Dirichlet Problem for Quasi-Linear Elliptic Equations

Date

2002-10-02

Authors

Baalal, Azeddine
Rhouma, Nedra BelHaj

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We study the Dirichlet Problem associated to the quasilinear elliptic problem -Σni=1 ∂/ ∂xi Ai(x, u(x), ∇u(x)) + B(x, u(x), ∇u(x)) = 0. Then we define a potential theory related to this problem and we show that the sheaf of continuous solutions satisfies the Bauer axiomatic theory.

Description

Keywords

Supersolution, Dirichlet problem, Obstacle problem, Nonlinear potential theory

Citation

Baalal, A., Rhouma, N. B. (2002). Dirichlet problem for quasi-linear elliptic equations. <i>Electronic Journal of Differential Equations, 2002</i>(82), pp. 1-18.

Rights

Attribution 4.0 International

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