Sur quelques problèmes à frontière libre analytique dans le plan
Sur un système d'équations aux dérivées partielles à une fonction d'ensemble comme inconnue
Sur un théorème de point critique et application à un problème de non-résonance entre deux valeurs propres du -laplacien
Sur une définition de la valeur d'une distribution en un point et son application au problème de Cauchy
Sur une équation quasilinéaire d'ordre 2 non elliptique
Symmetric solutions to minimization of a -energy functional with ellipsoid value.
Symmetries of connections on fibered manifolds
The (infinitesimal) symmetries of first and second-order partial differential equations represented by connections on fibered manifolds are studied within the framework of certain “strong horizontal“ structures closely related to the equations in question. The classification and global description of the symmetries is presented by means of some natural compatible structures, eġḃy vertical prolongations of connections.
Symmetries of Conservation Laws
Symmetries of factor systems.
Symmetrization in nonlinear parabolic equations
Symmetry and concentration behavior of ground state in axially symmetric domains.
Symmetry and new solutions of the Black-Scholes equation.
Symmetry extensions and their physical reasons in the kinetic and hydrodynamic plasma models.
Symmetry group of Ţiţeica surfaces PDE.
Symmetry groups and conservation laws of certain partial differential equations.
Symmetry groups and Lagrangians associated with Tzitzeica surfaces.
Symmetry Lie group of the Monge-Ampère equation.
Symmetry Lie group of the Monge-Ampère equation.
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...
Symmetry of solutions of semilinear elliptic problems
We study symmetry properties of least energy positive or nodal solutions of semilinear elliptic problems with Dirichlet or Neumann boundary conditions. The proof is based on symmetrizations in the spirit of Bartsch, Weth and Willem (J. Anal. Math., 2005) together with a strong maximum principle for quasi-continuous functions of Ancona and an intermediate value property for such functions.