Best constants in Poincaré inequalities for convex domains

Details Best constants in Poincaré inequalities for convex domains Best constants in Poincaré inequalities for convex domains

2011-10-13

arxiv.org/abs/1110.2960v1

Mathematics

Analysis of PDEs

Scientific paper

We prove a Payne-Weinberger type inequality for the $p$-Laplacian Neumann eigenvalues ($p\ge 2$). The inequality provides the sharp upper bound on convex domains, in terms of the diameter alone, of the best constants in Poincar\'e inequality. The key point is the implementation of a refinement of the classical P\'olya-Szeg\"o inequality for the symmetric decreasing rearrangement which yields an optimal weighted Wirtinger inequality.

Affiliated with

Also associated with

No associations

Rating

Best constants in Poincaré inequalities for convex domains 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 Best constants in Poincaré inequalities for convex domains, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Best constants in Poincaré inequalities for convex domains will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-500485