Volume no :35, Issue no: 1, September

Journal of Mathematical Sciences: Advances and Applications

NONLINEAR ELLIPTIC EQUATION WITH VARIABLE EXPONENTS AND MEASURE OR DATA

Author's: F. Mokhtari, K. Bachouche and H. Abdelaziz
Pages: [73] - [101]
Received Date: October 8, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121550

Abstract

In this work, we prove existence and regularity of weak solutions for a class of nonlinear elliptic equations with variable exponents and measure or data, with m being small. The functional setting involves Lebesgue-Sobolev spaces with variable exponents.

Keywords

elliptic equations, weak solution, variable exponent, measure or data.