Résumé: This paper is devoted to the study of the existence of solutions for a class of elliptic system with nonlocal term in Rn. The main tool used is the variational method, more precisely, the Mountain Pass Theorem.
Résumé: In this paper we study a class of nonlinear elliptic problems involving the p (x)-Laplacian operator. Under some additional assumptions on the nonlinearities, thecorresponding functional verifies the Palais-Smale condition. So, we can use the Mountain Pass Theorem to prove the existence of nontrivial solution.
Résumé: In this paper we study the existence of solutions for a class of elliptic system with nonlocal term in Rn. The main tool used is the variational method, more precisely the Mountain Pass Theorem.
Résumé: This article presents sufficient conditions for the existence of non- trivial solutions for a nonlinear elliptic system. To establish this result, we use a classical existence theorem in reflexive Banach spaces, under some growth conditions on the non-linearities.
Résumé: In this article we study elliptic systems called asymptotically ho- mogeneous because their nonlinearities may not have polynomial growth. Using the Gidas-Spruck Blow-up method, we obtain a priori estimates, and then using Leray-Schauder topological degree theory, we obtain radial positive solutions vanishing at infinity.
Résumé: Using an approximation method, we show the existence of solutions for some noncooperative elliptic systems defined on an unbounded domain.
Résumé: Using a variational approach, we study a class of nonlinear ellip- tic systems derived from a potential and involving the p-Laplacian. Under suitable assumptions on the nonlinearities, we show the existence of nontrivial solutions.
Résumé: The purpose of the paper article is to investigate the existence of eigenvalues for linear elliptic problems in R2
Résumé: We investigate here the existence of positive principal eigenvalues for elliptic boundary value problems.
Résumé: Here, we study some cooperatif systems and we give a necessary and sufficient condition for having a Maximum Principle. The Maximum Principle under its different versions is very useful for proving existence, uniqueness and qualitative properties of solutions of linear or non linear partial differential equations.
Résumé: Nous étudions ici l'existence et le comportement asymptotique des valeurs propres réelles du problème <