An Adaptive Newton Algorithm Based on Numerical Inversion: Regularization as Postconditioner.
An analytical approach for quasi-linear equation in second order.
An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions.
An eigenvalue problem related to Hardy’s inequality
An elastic membrane with an attached non-linear thermoelastic rod
We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain Ω ⊂ R^2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence...
An elementary proof for one-dimensionality of travelling waves in cylinders.
An Elliptic Neumann Problem with Subcritical Nonlinearity
We establish the existence of a solution to the Neumann problem in the half-space with a subcritical nonlinearity on the boundary. Solutions are obtained through the constrained minimization or minimax. The existence of solutions depends on the shape of a boundary coefficient.
An elliptic problem with arbitrarily small positive solutions.
An elliptic semilinear equation with source term involving boundary measures: the subcritical case.
We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain Ω of RN (N ≥ 2),⎧ Δu + uq = 0, in Ω⎨⎩ u = μ, on ∂Ωwhere 1 < q < (N + 1)/(N - 1) and μ is a Radon measure on ∂Ω. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.
An existence result for a free boundary problem for the -Laplace operator.
An existence result for nonlinear elliptic problems involving critical Sobolev exponent
An incorrectly posed problem for nonlinear elliptic equations.
An inequality which arises in the absence of the mountain pass geometry.
An -theory of existence and uniqueness of solutions of nonlinear elliptic equations
An optimal estimate for the singular set of a harmonic map in the free boundary.
Analyse limite d'équations variationnelles dans un domaine contenant une grille
Analysis of a Damped Nonlinear Multilevel Method.
Analysis of boundary bubbling solutions for an anisotropic Emden–Fowler equation
Analysis tools for finite volume schemes
Anti-self-dual lagrangians : variational resolutions of non-self-adjoint equations and dissipative evolutions