On some nonlinear partial differential equations involving the “1”-laplacian and critical Sobolev exponent
On Some Nonlinear Partial Differential Equations Involving the “1”-Laplacian and Critical Sobolev Exponent
Let Ω be a smooth bounded domain in , n > 1, let a and f be continuous functions on , . We are concerned here with the existence of solution in , positive or not, to the problem: This problem is closely related to the extremal functions for the problem of the best constant of into .
On some nonlinear potential problems.
On spaces and
On steady-state carrier distributions in semiconductor devices
The author proves the existence of solution of Van Roosbroeck's system of partial differential equations from the theory of semiconductors. His results generalize those of Mock, Gajewski and Seidman.
On strongly nonlinear elliptic equations with weak coercitivity condition.
We prove the existence and uniqueness of weak solutions of boundary problem value problems in an unbounded domain Ω ⊂ Rn for strongly nonlinear 2m order elliptic differential equations.
On the average value for nonconstant eigenfunctions of the -Laplacian assuming Neumann boundary data.
On the behaviour of solutions to the nonlinear elliptic Neumann problem in unbounded domains
The asymptotic behaviour is studied for minima of regular variational problems with Neumann boundary conditions on noncompact part of boundary.
On the Boundary Element Method for Some Nonlinear Boundary Value Problems.
On the Convergence of Multi-Grid Methods with Transforming Smoothers. Theory with Applications to the Navier-Stokes Equations.
On the coupled BEM and FEM for a nonlinear exterior Dirichlet problem in R2.
On the critical Neumann problem with lower order perturbations
We investigate the solvability of the Neumann problem (1.1) involving a critical Sobolev exponent and lower order perturbations in bounded domains. Solutions are obtained by min max methods based on a topological linking. A nonlinear perturbation of a lower order is allowed to interfere with the spectrum of the operator -Δ with the Neumann boundary conditions.
On the Dirichlet boundary value problem for nonlinear elliptic partial differential equations in Sobolev power weight spaces
On the Dirichlet problem for a degenerate elliptic equation
On the Dirichlet problem for minimal graphs in hyperbolic space.
On the Dirichlet problem for quasilinear elliptic second order equations with triple degeneracy and singularity in a domain with a boundary conical point.
On the Dirichlet Problem for Semi-Linear Elliptic Equation with L2-Boundary Data.
On the Dirichlet problem for the degenerate real Monge Ampère equation.
On the effect of the domain geometry on uniqueness of positive solutions of
On the Efficient Solution of Nonlinear Finite Element Equations. II. Bound-Constrained Problems.