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In this article, we consider (component-wise) positive radial solutions of a weakly coupled system of elliptic equations in a ball with homogeneous nonlinearities. The existence is well-known in… Continue Reading
We study the positive solutions of some fourth order elliptic équations satisfying over-determined boundary conditions. We prove that the domain on which the solution is defined is necessarily a ball… Continue Reading
The purpose of this paper is to prove the uniqueness of positive solutions of some particular biharmonic boundary value problems. We also give some existence results in the sublinear case.
Abstract In this paper we study the uniqueness question of positive solutions of the two point boundary value problem:u(4)(t)=f(u(t)), −R 0 is fixed andf : [0, ∞)→[0, ∞) is inC1. A uniqueness result… Continue Reading
RésuméRécemment T.Kusanoet C. A.Swansonont étudié l'équation elliptique semilinéaireΔu+j(x)u−λ=0,x ∉Rn,n⩾ 3et 0</λ</ l.Ils ont montré l'existence d'une solution positive globale se comportant comme… Continue Reading