On the existence of positive solutions to semilinear elliptic systems involving gradient term

The concepts of polyconvexity and rank one convexity for sets were introduced as a tool for solving differential inclusion problems through the notion of convex hull in

Cette equation a souvent ete une source de contre-exemples importants en théorie des equations aux derivees

Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential ✩.. Susana Merchán a , Luigi Montoro b , Ireneo Peral a, ∗

A necessary and sufficient condition seems to leave little hope of being able to apply the method to provide an existence theorem for absolutely continuous minimizers under

- We prove here the existence of a positive solution, under general conditions, for semilinear elliptic equations in unbounded domains with a variational structure..

- We prove the existence of a minimizer for a multidimen- sional variational problem related to the Mumford-Shah approach to computer vision.. Key words :

N’Gu´ er´ ekata, Pseudo almost automorphic solutions of a neutral functional fractional differetial equation, Intern. Valmorin, Antiperiodic solutions of semilinear

Section 1 provides Riemannian versions of 3 classical results of geomet- ric measure theory: Allard’s regularity theorem, the link between first variation and mean curvature in the