Removable Singularities of Some Strongly Nonlinear Elliptic Equations.
Renormalized solutions of elliptic equations with general measure data
Resonance and strong resonance for semilinear elliptic equations in .
Resonance problems with respect to the Fučík spectrum of the -Laplacian.
Résultats d'existence et de non-existence pour la solution positive et bornée d'une e.d.p. elliptique non linéaire
Reverse functional inequalities and their applications to nonlinear elliptic boundary value problems.
Revisiting the method of sub- and supersolutions for nonlinear elliptic problems.
Riccati inequality and oscillation criteria for PDE with -Laplacian.
Riccati-type inequality and oscillation criteria for a half-linear PDE with damping.
Scattering problem for nonlinear Schrödinger equations
Schéma des différences finies pour un système d'équations non linéaires partielles elliptiques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
s∗-compressibility of the discrete Hartree-Fock equation
The Hartree-Fock equation is widely accepted as the basic model of electronic structure calculation which serves as a canonical starting point for more sophisticated many-particle models. We have studied the s∗-compressibility for Galerkin discretizations of the Hartree-Fock equation in wavelet bases. Our focus is on the compression of Galerkin matrices from nuclear Coulomb potentials and nonlinear terms in the Fock operator which hitherto has not been discussed in the literature. It can be shown...
Second-order estimates for boundary blowup solutions of special elliptic equations.
Semilinear elliptic boundary-value problems on bounded multiconnected domains.
Semilinear elliptic equations having asymptotic limits at zero and infinity.
Semilinear equations with exponential nonlinearity and measure data
Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains.
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of developing a similar sharp theory for semilinear problems of the type Δu - N(x,u) = F(x), equipped with Dirichlet and Neumann boundary conditions.
Semilinear wave equation on manifolds
Separable -harmonic functions in a cone and related quasilinear equations on manifolds