Singularités isotropes des solutions d'équations elliptiques non linéaires
Singularities in elliptic systems with absorption terms
Singularities of Elliptic Equations with an Exponential Nonlinearity.
Soluciones con soporte compacto para ciertos problemas semilineales.
In this paper we prove that some classes of semilinear elliptic problems, formulated in very general terms by using the theory of maximal monotone graphs, admit a finite propagation speed. More concretely we show that if the data of these problems have compact supports, then the same happens to their solutions. These same thechniques will also be applied to some evolution problems. The first results in this direction are due to H. Brézis and to O. Oleinik & A. S. Kalashnikov & C. Yuilin...
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction.
Solution of a class of quasilinear Dirichlet and Neumann problems by the method of reduction. (Short Communication).
Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
Solution of inhomogeneous quasilinear Dirichlet and Neumann problems by reduction to the Poisson equation and a posteriori error bounds.
Solutions explosives exceptionnelles
Solutions for singular critical growth Schrödinger equations with magnetic field.
Solutions for Toda systems on Riemann surfaces
In this paper we study the solutions of Toda systems on Riemann surface in the critical case, proving a sufficient condition for existence.
Solutions of the constraint equations in general relativity satisfying "hyperboloidal boundary conditions" [Book]
Solutions to a nonlinear drift-diffusion model for semiconductors.
Solutions to a perturbed critical semilinear equation concerning the -Laplacian in
The aim of this paper is to study the existence of variational solutions to a nonhomogeneous elliptic equation involving the -Laplacian where , is a bounded smooth domain in , , is a critical nonlinearity in the sense of the Trudinger-Moser inequality and is a small perturbation.
Solutions to -systems by topological and iterative methods.
Solutions to nonlinear elliptic equations with a nonlocal boundary condition.
Solutions to perturbed eigenvalue problems of the -Laplacian in .
Solutions to stationary phase-field equations.
Solutions to the mean curvature equation by fixed point methods.
Solvability for semilinear PDE with multiple characteristics
We prove local solvability in Gevrey spaces for a class of semilinear partial differential equations. The linear part admits characteristics of multiplicity k ≥ 2 and data are fixed in , 1 < σ < k/(k-1). The nonlinearity, containing derivatives of lower order, is assumed of class with respect to all variables.