Dirichlet problem for quasi-linear elliptic equations

We study the Dirichlet Problem associated to the quasilinear elliptic problem $$ -sum_{i=1}^{n}frac{partial }{partial x_i}mathcal{A}_i(x,u(x), abla u(x))+mathcal{B}(x,u(x),abla u(x))=0. $$ Then we define a potential theory related to this problem and we show that the sheaf of continuous solutions sa...

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Bibliographic Details
Main Authors: Azeddine Baalal, Nedra Belhaj Rhouma
Format: Article
Language:English
Published: Texas State University 2002-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2002/82/abstr.html