For EDITORS

For READERS

All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Volume 9, Number 1, 2019, Pages 295-313                                                                DOI:10.11948/2019.295
The Dirichlet problem for nonlinear elliptic equations with variable exponent
Azeddine Baalal,Mohamed Berghout
Keywords:p(.)-Laplacian operator, potential theory, Sobolev spaces with variable exponent.
Abstract:
      In this paper we study the Dirichlet problem for nonlinear elliptic equations with variable exponents in Sobolev spaces with variable exponent. We show that for every continuous function $g$ on the boundary there exists a unique continuous extension of $g$.
PDF      Download reader