438 research outputs found
regularity for the Laplacian in two-dimensional convex domains
In this paper we study the global regularity for solutions of the
Laplacian in two dimensional convex domains with Dirichlet boundary
conditions. Here with and
.Comment: 18 pages. Keywords: Variable exponent spaces. Elliptic Equations.
regularit
An optimization problem for the first weighted eigenvalue problem plus a potential
In this paper, we study the problem of minimizing the first eigenvalue of the
Laplacian plus a potential with weights, when the potential and the weight
are allowed to vary in the class of rearrangements of a given fixed potential
and weight . Our results generalized those obtained in [9] and [5].Comment: 15 page
- …