3 papers
math.FA2002
Nonsmooth Critical Point Theorems Without Compactness
Youssef Jabri
We establish an abstract critical point theorem for locally Lipschitz functionals that does not require any compactness condition of Palais-Smale type. It generalizes and unifies t…
math.FA2002
A nonsmooth variational approach to differential problems. A case study of nonresonance under the first eigenvalue for a strongly nonlinear elliptic problem
Youssef Jabri
We adapt a technique of nonsmooth critical point theory developed by Degiovanni-Zani for a semilinear problem involving the Laplacian to the the case of the -Laplacian. We suppo…
math.FA1999
On the Linking Principle
Youssef Jabri, Mimoun Moussaoui
We give a linking theorem that strengthens and unifies some many minimax theorems including Ambrosetti-Rabinowitz ``mountain pass theorem'', Rabinowitz ``multidimensional mountain…