Radial positive solutions for a nonpositone problem in a ball.
Random trees and applications.
Reaction-diffusion problems in cylinders with no invariance by translation. Part I : small perturbations
Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
Optimal control problems for semilinear elliptic equations with control constraints and pointwise state constraints are studied. Several theoretical results are derived, which are necessary to carry out a numerical analysis for this class of control problems. In particular, sufficient second-order optimality conditions, some new regularity results on optimal controls and a sufficient condition for the uniqueness of the Lagrange multiplier associated with the state constraints are presented.
Regularity of differential forms minimizing degenerate elliptic functionals.
Regularity results for some classes of higher order non linear elliptic systems.
Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
Maximization problems are formulated for a class of quasistatic problems in the deformation theory of plasticity with respect to an uncertainty in the material function. Approximate problems are introduced on the basis of cubic Hermite splines and finite elements. The solvability of both continuous and approximate problems is proved and some convergence analysis presented.
Remark on the structure of the range of second order nonlinear elliptic operator
Remarks on critical exponents for hessian operators
Remarks on inhomogeneous elliptic problems arising in astrophysics.
Remarks on positive solutions to a semilinear Neumann problem
In this paper we study the influence of the domain topology on the multiplicity of solutions to a semilinear Neumann problem. In particular, we show that the number of positive solutions is stable under small perturbations of the domain.
Remarks on the uniqueness of radial solutions
Remarks on the Yamabe problem and the Palais-Smale condition
Removable singularities for bounded -harmonic functions and quasi(super)harmonic functions.
Removable Singularities of Some Strongly Nonlinear Elliptic Equations.
Removeable singular sets of fully nonlinear elliptic equations.
Renormalized entropy solutions for degenerate nonlinear evolution problems.
Renormalized solutions of elliptic equations with general measure data
Résolution de l’équation où est linéaire et dérive d’un potentiel convexe
Resonance problems with respect to the Fučík spectrum of the -Laplacian.