Sul problema della goccia appoggiata
Superconvergence of the gradient of finite element solutions
Superlinear elliptic equations
Sur les problèmes unilatéraux
Sur un théorème de point critique et application à un problème de non-résonance entre deux valeurs propres du -laplacien
Sur une équation quasilinéaire d'ordre 2 non elliptique
Symmetry group of Ţiţeica surfaces PDE.
Symmetry groups and Lagrangians associated with Tzitzeica surfaces.
Symmetry of minimizers with a level surface parallel to the boundary
We consider the functional where is a bounded domain and is a convex function. Under general assumptions on , Crasta [Cr1] has shown that if admits a minimizer in depending only on the distance from the boundary of , then must be a ball. With some restrictions on , we prove that spherical symmetry can be obtained only by assuming that the minimizer has one level surface parallel to the boundary (i.e. it has only a level surface in common with the distance). We then discuss how these...