Singular limits for the bi-laplacian operator with exponential nonlinearity in
Singular non polynomial perturbations of
Si studia la perturbazione dello spettro deiroperatore dovuta all'introduzione di un potenziale singolare non polinomiale e si prova che la serie perturbativa del primo autovalore di tale operatore è sommabile secondo Borel.
Singular nonlinear elliptic equations in .
Singular -harmonic functions and related quasilinear equations on manifolds.
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbation for the Dirichlet boundary control of elliptic problems
A current procedure that takes into account the Dirichlet boundary condition with non-smooth data is to change it into a Robin type condition by introducing a penalization term; a major effect of this procedure is an easy implementation of the boundary condition. In this work, we deal with an optimal control problem where the control variable is the Dirichlet data. We describe the Robin penalization, and we bound the gap between the penalized and the non-penalized boundary controls for the small...
Singular perturbations and parameter-dependent pseudo-differential boundary problems
Singular sets and number of solutions of nonlinear boundary value problems
Singular solutions of elliptic boundary value problems in polyhedra
Singular Solutions of the p-Laplace Equation.
Singular Solutions of the p-Laplace Equation (Erratum).
Singularités d'arêtes pour les problèmes aux limites elliptiques
Singularités des problèmes aux limites dans des polyèdres
Singularités éliminables pour des équations semi-linéaires
Étant donné un opérateur différentiel d’ordre sur un ouvert de , un compact de , et , nous montrons que toute solution de “ sur ” est solution de “ sur ” dès que la -capacité de est nulle. Cette condition s’avère nécessaire quand est un opérateur elliptique d’ordre 2. Dans ce cas, nous montrons aussi que où est une mesure de Radon bornée sur , a une solution si et seulement si ne charge pas les ensembles de -capacité nulle.
Singularités isotropes des solutions d'équations elliptiques non linéaires
Singularities in elliptic systems with absorption terms
Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment
Singularities of Elliptic Equations with an Exponential Nonlinearity.
Singularity theory and the geometry of a nonlinear elliptic equation
Singularly perturbed elliptic equations with solutions concentrating on a 1-dimensional orbit
We consider a singularly perturbed elliptic equation with superlinear nonlinearity on an annulus in , and look for solutions which are invariant under a fixed point free 1-parameter group action. We show that this problem can be reduced to a nonhomogeneous equation on a related annulus in dimension 3. The ground state solutions of this equation are single peak solutions which concentrate near the inner boundary. Transforming back, these solutions produce a family of solutions which concentrate...