Existence of ground state solutions of elliptic system in Fractional Orlicz-Sobolev Spaces

Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

Existence of ground state solutions for a class of nonlinear elliptic equations with fast increasing weight

‎This paper is devoted to get a ground state solution for a class of nonlinear elliptic equations with fast increasing weight‎. ‎We apply the variational methods to prove the existence of ground state solution‎.

Renormalized Solutions for Strongly Nonlinear Elliptic Problems with Lower Order Terms and Measure Data in Orlicz-Sobolev Spaces

The purpose of this paper is to prove the existence of a renormalized solution of perturbed elliptic problems$ -operatorname{div}Big(a(x,u,nabla u)+Phi(u) Big)+ g(x,u,nabla u) = mumbox{ in }Omega,  $ in the framework of Orlicz-Sobolev spaces without any restriction on the $M$ N-function of the Orlicz spaces, where $-operatorname{div}Big(a(x,u,nabla u)Big)$ is a Leray-Lions operator defined f...

Multiple Solutions for Quasilinear Elliptic Neumann Problems in Orlicz-sobolev Spaces

Here, Ω is a bounded domain with sufficiently smooth (e.g. Lipschitz) boundary ∂Ω and ∂/∂ν denotes the (outward) normal derivative on ∂Ω. We assume that the function φ :R→R, defined by φ(s)= α(|s|)s if s = 0 and 0 otherwise, is an increasing homeomorphism from R to R. Let Φ(s)= ∫ s 0 φ(t)dt, s∈R. Then Φ is a Young function. We denote by LΦ the Orlicz space associated withΦ and by ‖ · ‖Φ the usu...

Existence of Solutions for Elliptic Equations Having Natural Growth Terms in Orlicz Spaces

and which satisfies the classical sign condition g(x,s,ξ)s ≥ 0. The right-hand side f is assumed to belong to W−1EM(Ω). It is well known that Gossez [12] solved (1.1) in the case where g depends only on x and u. If g depends also on ∇u, existence theorems have recently been proved by Benkirane and Elmahi in [3, 4] by making some restrictions. In [3], g is supposed to satisfy a “nonnatural” grow...