Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

In this paper, we consider fully nonlinear integro-differential equations with possibly nonsymmetric kernels. We are able to find different versions of Alexandroff-Backelman-Pucci estimate corresponding to the full class $\cS^{\fL_0}$ of uniformly elliptic nonlinear equations with $1<\sigma<2$ (subcritical case) and to their subclass $\cS^{\fL_0}_{\eta}$ with $0<\sigma\leq 1$. We show that $\cS^{\fL_0}_{\eta}$ still includes a large number of nonlinear operators as well as linear operators. And we show a Harnack inequality, H\"older regularity, and $C^{1,\alpha}$-regularity of the solutions by obtaining decay estimates of their level sets in each cases.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels 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 Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Regularity results for fully nonlinear integro-differential operators with nonsymmetric positive kernels will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-463294

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.