We consider a system of nonlocal elliptic equations-A (x,| v| Lr1 (x) div (α1 (|∇ u| p1 (x))|∇ u|
p1 (x)-2∇ u)= ƒ1 (x, u, v)|∇ v| α1 (x) Lq1 (x)+ g1 (x, u, v)|∇ v| γ1 (x) Ls1 (x),-A (x,| u| Lrs (x) …

This manuscript explores the existence of solutions for a quasilinear nonlocal system that
incorporates the p-Laplacian operator. The system considered arise in relevant applications …

Existence and multiplicity of positive solutions for a singular system via sub-supersolution
method and Mountain Pass Theorem Page 1 Electronic Journal of Qualitative Theory of …

In this paper, we prove existence of a positive solution to a one-dimensional nonlocal elliptic
problem and existence of a positive radial solution to a multidimensional nonlocal elliptic …

The purpose of this paper is to deal with the superlinear elliptic problem, which does not
satisfy the Ambrosetti-Rabinowitz condition near infinity. With the Hahn-Banach Theorem …

In this paper, we consider a class of nonlinear operators containing p (·)-Laplacian and
mean curvature operator with mixed boundary conditions. More precisely, we are concerned …

Mathematics | Free Full-Text | Sub-Super Solutions Method Combined with Schauder’s
Fixed Point for Existence of Positive Weak Solutions for Anisotropic Non-Local Elliptic Systems …

This article is concerned with the study of the existence of a distributional solution for a
strongly nonlinear (p (x), q (x))-elliptic systems. By means of the Berkovits degree theory …

Page 1 p(x)-bi-Laplacian: Application on Time-PDEs in Viscoelasticity Khaled Zennir Svetlin G
Georgiev World Scientific Page 2 p(x)-bi-Laplacian: Application on Time-PDEs in Viscoelasticity …

The variable exponent differential inclusion systems with a multivalued reaction term
depending on the gradient are considered in this paper. Under general assumptions on the …