Some possibly degenerate elliptic problems with measure data and non linearity on the boundary

Details Some possibly degenerate elliptic problems with measure data and non linearity on the boundary Some possibly degenerate elliptic problems with measure data and non linearity on the boundary

2010-02-26

arxiv.org/abs/1002.4982v1

Mathematics

Analysis of PDEs

Scientific paper

The goal of this paper is to study some possibly degenerate elliptic equation in a bounded domain with a nonlinear boundary condition involving measure data. We investigate two types of problems: the first one deals with the laplacian in a bounded domain with measure supported on the domain and on the boundary. A second one deals with the same type of data but involves a degenerate weight in the equation. In both cases, the nonlinearity under consideration lies on the boundary. For the first problem, we prove an optimal regularity result, whereas for the second one the optimality is not guaranteed but we provide however regularity estimates.

Affiliated with

Also associated with

No associations

Rating

Some possibly degenerate elliptic problems with measure data and non linearity on the boundary does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some possibly degenerate elliptic problems with measure data and non linearity on the boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some possibly degenerate elliptic problems with measure data and non linearity on the boundary will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-289808