Existence of a renormalized solutions to a nonlinear system in Orlicz spaces

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...

Existence of Weak-renormalized Solution for a Nonlinear System

We prove an existence result for a coupled system of the reactiondiffusion kind. The fact that no growth condition is assumed on some nonlinear terms motivates the search of a weak-renormalized solution.

Existence of Entropy Solutions for Some Nonlinear Problems in Orlicz Spaces

Existence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations

In this paper, we consider a coupled system of nonlinear fractional differential equations (FDEs), such that both equations have a particular perturbed terms. Using emph{Leray-Schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.

Existence Results for a Class of Nonlinear Parabolic Equations in Orlicz Spaces

is a LerayLions operator defined on W 1,x 0 LM (Ω), M is an appropriate N -function and which grows like M̄M(β K |∇u|) with respect to ∇u, but which is not restricted by any growth condition with respect to u (see assumptions (3.3)-(3.6)). The function Φ is just assumed to be continuous on R. Under these assumptions, the above problem does not admit, in general, a weak solution since the fields ...