Existence of solutions in the sense of distributions of anisotropic nonlinear elliptic equations with variable exponent


The aim of this paper is to study the existence of solutions in the sense of distributions for a strongly nonlinear elliptic problem where the second term of the equation f is in the dual space of the anisotropic Sobolev and later f will be in L1. key words: Anisotropic Sobolev spaces, variable exponent, strongly nonlinear elliptic equa- tions, boundary value problems, solution in the sense of distributions.


M.B. Benboubker, H. Hjiaj and C. Yazough.


Houssam Chrayteh

Journal/Conference Information

Topol. Meth. Non. Analysis.,