Isolated Singularities of Nonlinear Polyharmonic Inequalities

Details Isolated Singularities of Nonlinear Polyharmonic Inequalities Isolated Singularities of Nonlinear Polyharmonic Inequalities

2011-07-22

arxiv.org/abs/1107.4586v1

Mathematics

Analysis of PDEs

31 pages

Scientific paper

We obtain results for the following question where $m\ge 1$ and $n\ge 2$ are integers. {\bf Question.} For which continuous functions $f\colon [0,\infty)\to [0,\infty)$ does there exist a continuous function $\phi\colon (0,1)\to (0,\infty)$ such that every $C^{2m}$ nonnegative solution $u(x)$ of 0 \le -\Delta^m u\le f(u)\quad \text{in}\quad B_2(0)\backslash\{0\}\subset {\bb R}^n satisfies u(x) = O(\phi(|x|))\quad \text{as}\quad x\to 0 and what is the optimal such $\phi$ when one exists?

Affiliated with

Also associated with

No associations

Rating

Isolated Singularities of Nonlinear Polyharmonic Inequalities 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 Isolated Singularities of Nonlinear Polyharmonic Inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Isolated Singularities of Nonlinear Polyharmonic Inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-677180