We investigate the extinction, non-extinction and decay estimates of non-negative nontrivial
weak solutions of the initial-boundary value problem for the p-Laplacian equation with …

In this paper we consider the differential inclusion problem in R^ N involving the p (x)-
Laplacian of the type-p (x) u+ V (x)| u|^ p (x)-2 u ∈ ∂ F (x, u)\,\, in\, R^ N. Some new criteria …

In this paper, based on the theory of variable exponent space, we study a class of
minimizing problem on Nehari manifold via concentration compactness principle. Under …

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 …

The elliptic obstacle problems with variable exponents and multivalued reaction terms,
depending on the gradient, are considered in this paper. Under general assumptions on the …

We consider the p (x)-Laplacian equations in RN. The potential function does not satisfy the
coercive condition. We obtain the existence of infinitely many solutions of the equations …

This paper concernes with the existence and multiplicity of solutions for p (x)-Laplacian
differential inclusions involving critical growth. The main tools are the nonsmooth analysis …

EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR p(x)-LAPLACIAN EQUATIONS IN RN
1. Introduction The study of various mathematical pro Page 1 Electronic Journal of Differential …

This paper is concerned with a class of p(x)-Kirchhoff type problem in R^N. By the theories of
nonsmooth critical point and variable exponent Sobolev spaces, we establish the existence …

This paper is concerned with the following Kirchhoff-type problems with a nonsmooth
potential:−(a+ b∫ Ω|∇ u| 2 dx) Δ u∈∂ j (x, u) -(a+bΩ|∇u|^2\,dx)Δu∈∂j(x,u) for aa x∈ Ω …