$W^{2,p}$-A~priori estimates for the neutral Poincaré problem

Details $W^{2,p}$-A~priori estimates for the neutral Poincaré problem $W^{2,p}$-A~priori estimates for the neutral Poincaré problem

2011-10-11

arxiv.org/abs/1110.2469v1

J. Nonlinear Convex Anal. 7 (2006), No. 3, 499-514

Mathematics

Analysis of PDEs

This is the definitive version of a lecture delivered at the International Conference on "Recent Advances in PDEs" in memory o

Scientific paper

A degenerate oblique derivative problem is studied for uniformly elliptic operators with low regular coefficients in the framework of Sobolev's classes $W^{2,p}(\Omega)$ for {\em arbitrary} $p>1.$ The boundary operator is prescribed in terms of a directional derivative with respect to the vector field $\l$ that becomes tangential to $\partial \Omega$ at the points of some non-empty subset $\E\subset \partial \Omega$ and is directed outwards $\Omega$ on $\partial\Omega\setminus\E.$ Under quite general assumptions of the behaviour of $\l,$ we derive {\it a priori} estimates for the $W^{2,p}(\Omega)$-strong solutions for any $p\in(1,\infty).$

Affiliated with

Also associated with

No associations

Rating

$W^{2,p}$-A~priori estimates for the neutral Poincaré problem 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 $W^{2,p}$-A~priori estimates for the neutral Poincaré problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $W^{2,p}$-A~priori estimates for the neutral Poincaré problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472536