On the Dirichlet problem for nonlinear degenerate elliptic equations and applications to optimal control.
On the Dirichlet problem for quasilinear elliptic second order equations with triple degeneracy and singularity in a domain with a boundary conical point.
On the eigenvalue problem for the Hardy-Sobolev operator with indefinite weights.
On the existence of positive solutions of Yamabe-type equations on the Heisenberg group.
On the existence of weak solutions for -Laplacian systems with weights.
On the fusion problem for degenerate elliptic equations II
Let be a relatively closed subset of a Euclidean domain . We investigate when solutions to certain elliptic equations on are restrictions of solutions on all of . Specifically, we show that if is not too large, and has a suitable decay rate near , then can be so extended.
On the interior regularity of weak solutions of degenerate elliptic systems (the case < < )
On the penalized obstacle problem in the unit half ball.
On the properties of infinity-harmonic functions and an application to capacitary convex rings.
On the quasiuniqueness of solutions of degenerate equations in Hilbert space.
On the radial solutions of a degenerate quasilinear elliptic equation in
On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with data.
On the solution of the Dirichlet problem for an elliptic equation degenerating on the boundary.
On the solvability of degenerated quasilinear elliptic problems.
On types of degenerate elliptic operators
On weighted estimates of solutions of nonlinear elliptic problems
The paper is devoted to the estimate u(x,k)Kk{capp,w(F)pw(B(x,))} 1p-1, for a solution of a degenerate nonlinear elliptic equation in a domain , , , under the boundary-value conditions for , for and where , is a weighted function from some Muckenhoupt class, and , are weighted capacity and measure of the corresponding sets.
Opérateurs maximaux associés à une classe d'opérateurs elliptiques fortement dégénérés sur la frontière. Application au calcul de l'indice pour une classe de problèmes aux limites associés à ces opérateurs
Optimal regularity for quasilinear equations in stratified nilpotent Lie groups and applications.
Oscillation criteria for semilinear elliptic equations with a damping term in .
Ostrowski type inequalities related to the generalized Baouendi-Grushin vector fields