Article ID Journal Published Year Pages File Type
4613386 Journal of Differential Equations 2006 19 Pages PDF
Abstract

We characterize all geometric perturbations of an open set, for which the solution of a nonlinear elliptic PDE of p-Laplacian type with Dirichlet boundary condition is stable in the L∞-norm. The necessary and sufficient conditions are jointly expressed by a geometric property associated to the γp-convergence.If the dimension N of the space satisfies N−1

Related Topics
Physical Sciences and Engineering Mathematics Analysis