Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients

Details Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients

2011-06-23

arxiv.org/abs/1106.4811v1

Mathematics

Analysis of PDEs

Scientific paper

We derive local boundedness estimates for weak solutions of a large class of second order quasilinear equations. The structural assumptions imposed on an equation in the class allow vanishing of the quadratic form associated with its principal part and require no smoothness of its coefficients. The class includes second order linear elliptic equations as studied by D. Gilbarg and N. S. Trudinger [1998] and second order subelliptic linear equations as studied by E. Sawyer and R. L. Wheeden [2006 and 2010]. Our results also extend ones obtained by J. Serrin [1964] concerning local boundedness of weak solutions of quasilinear elliptic equations.

Affiliated with

Also associated with

No associations

Rating

Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients 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 Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Boundedness of weak solutions of degenerate quasilinear equations with rough coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470571