Mathematics – Analysis of PDEs
Scientific paper
2010-02-10
Mathematics
Analysis of PDEs
The author (I) stumbled upon this problem while writing my master thesis, and although the result can be obtained through know
Scientific paper
The aim of this note is to present an alternative proof for an already known result relative to the solvability of the Dirichlet problem in Riemannian manifolds (see remark 0.1). In particular, we discuss the p-regularity (regularity relative to the p-laplacian) of domains of the form I = O-K, where O is a regular domain and K is a regular submanifold of variable codimension (see theorem 4.4). In theorem 5.1 we prove a sort of generalized external cone condition for the regularity of domains in Riemaniann manifolds giving a geometric and intuitive proof of this fact.
No associations
LandOfFree
Generalized external cone condition for domains in Riemannian manifolds 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 Generalized external cone condition for domains in Riemannian manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized external cone condition for domains in Riemannian manifolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-238326