Subsolutions of elliptic operators in divergence form and application to two-phase free boundary problems.
Sub-supersolutions and the existence of extremal solutions in noncoercive variational inequalities.
Superconvergence analysis of approximate boundary-flux calculations.
Superconvergence by Steklov averaging in the finite element method
The Steklov postprocessing operator for the linear finite element method is studied. Superconvergence of order 𝓞(h²) is proved for a class of second order differential equations with zero Dirichlet boundary conditions for arbitrary space dimensions. Relations to other postprocessing and averaging schemes are discussed.
Superconvergence for rectangular mixed finite elements.
Superconvergence Phenomenon in the Finite Element Method Arising from Averaging Gradients.
Super-critical boundary bubbling in a semilinear Neumann problem
Superlinear elliptic boundary value problems
Superlinear equations involving nonlinearities limited by asymptotically homogeneous functions.
Sur la notion de trace - application aux problèmes elliptiques
Sur l'approximation du problème de Dirichlet pour les opérateurs elliptiques d'ordre 2
Sur les equations de Monge-Ampere. I.
Sur les équations du type Ψ(x,h)=0 (II)
Sur les problèmes aux limites non-coercifs pour le laplacien
Sur l'existence et la régularité de solutions radiales pour des équations de type Monge-Ampère complexe.
Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli.
The Absolute Continuity of Elliptic Measure Revisited.
The analysis of intergrid transfer operators and multigrid methods for nonconforming finite elements.
The Asymptotic Behaviour of the First Eigenvalue of Linear Second-Order Elliptic Equations in Divergente Form
2000 Mathematics Subject Classification: 35J70, 35P15.The asymptotic of the first eigenvalue for linear second order elliptic equations in divergence form with large drift is studied. A necessary and a sufficient condition for the maximum possible rate of the first eigenvalue is proved.
The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions.