Dirichlet Problem for Quasi-Linear Elliptic Equations

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baalal.pdf (302.03 KB)
Date
2002-10-02
Authors
Baalal, Azeddine
Rhouma, Nedra BelHaj
Journal Title
Journal ISSN
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.
URI
https://hdl.handle.net/10877/12415
Collections
Electronic Journal of Differential Equations