Some surprising results on a one-dimensional elliptic boundary value blow-up problem.
Some theorems of Phragmen-Lindelof type for nonlinear partial differential equations.
The present paper studies second order partial differential equations in two independent variables of the form Div(ρ1|u,1|n-1u,1, ρ2|u,2|n-1u,2) = 0. We obtain decay estimates for the solutions in a semi-infinite strip. The results may be seen as theorems of Phragmen-Lindelof type. The method is strongly based on the ideas of Horgan and Payne [5], [6], [8].
Some uniqueness results for degenerate elliptic operators in two variables
Spectral asymptotics for multi-quasi-elliptic operators in
Spectral Estimates for Magnetic Operators.
Spectrum of one dimensional -Laplacian operator with indefinite weight.
Stability in Obstacle Problems.
Stability of the principal eigenvalue of a nonlinear elliptic system.
Stability results for some nonlinear elliptic equations involving the -laplacian with critical Sobolev growth
Stability results for some nonlinear elliptic equations involving the p-Laplacian with critical Sobolev growth
This article is devoted to the study of a perturbation with a viscosity term in an elliptic equation involving the p-Laplacian operator and related to the best contant problem in Sobolev inequalities in the critical case. We prove first that this problem, together with the equation, is stable under this perturbation, assuming some conditions on the datas. In the next section, we show that the zero solution is strongly isolated in some sense, among the space of the solutions. Actually, we end the...
Strongly nonlinear degenerated elliptic unilateral problems via convergence of truncations.
Strongly nonlinear degenerated unilateral problems with data.
Subharmonic functions in sub-Riemannian settings
In this paper we furnish mean value characterizations for subharmonic functions related to linear second order partial differential operators with nonnegative characteristic form, possessing a well-behaved fundamental solution . These characterizations are based on suitable average operators on the level sets of . Asymptotic characterizations are also considered, extending classical results of Blaschke, Privaloff, Radó, Beckenbach, Reade and Saks. We analyze as well the notion of subharmonic function...
Sur la régularité des solutions non strictement convexes de l'équation de Monge-Ampère réelle
Sur la théorie spectrale des opérateurs elliptiques (éventuellement dégénérés)
Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe.
Sur une classe d'opérateurs elliptiques et dégénérés à une variable
Sur une classe d'opérateurs partiellement hypoelliptiques
Symmetric solutions to minimization of a -energy functional with ellipsoid value.
Symmetry and convexity of level sets of solutions to the infinity Laplace's equation.