The field of variable exponent function spaces has witnessed an explosive growth in recent
years. The standard reference article for basic properties is already 20 years old. Thus this …

Differential equations with non-standard growth have been a very active field of investigation
in recent years. In this survey we present an overview of the field, as well as several of the …

In this paper, using the Nehari manifold approach and some variational techniques, we
discuss the multiplicity of positive solutions for the p (x)-Laplacian problems with non …

EXISTENCE OF SOLUTIONS FOR ELLIPTIC SYSTEMS IN RN INVOLVING THE p(x)-LAPLACIAN
1. Introduction In this article we establish the Page 1 Electronic Journal of Differential …

A strong maximum principle for quasilinear elliptic differential equations in a variable exponent
Sobolev space - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Existence of Solutions for Critical Systems with Variable Exponents Page 1 Mathematical Modelling
and Analysis http://mma.vgtu.lt Volume 23, Issue 4, 596–610, 2018 ISSN: 1392-6292 …

In this paper, we consider a non-local elliptic problem involving a Δ p→(·)-Laplacian
operator. We show that for all t> 0 the problem has non-negative solution u (t) with λ (u (t))→ …

In this paper, we deal with a typical gradient elliptic system involving a pair of p (x) and q (x)-
Laplacian operators. Furthermore, the system may have nonlinearities with sign-changing …

In this paper, by exploiting the Nehari manifold method and the Ljusternik–Schnirelman
category theory, we establish the existence and multiplicity results of the nonlinear …

EA Al Zahrani, MA Mourou and K. Saoudi abstract: The present work is concerned with the
study of a strongly coupled nonlinear elliptic system on the whole space RN involving the p …