Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term

Details Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term

2008-05-16

arxiv.org/abs/0805.2529v1

Isra\"el Journal of Mathematics, 152 (2006) 333-348

Mathematics

Analysis of PDEs

Scientific paper

We study the existence of a maximal solution of $-\Gd u+g(u)=f(x)$ in a domain $\Gw\subset \BBR^N$ with compact boundary, assuming that $f\in (L^1_{loc}(\Gw))_+$ and that $g$ is nondecreasing, $g(0)\geq 0$ and $g$ satisfies the Keller-Osserman condition. We show that if the boundary satisfies the classical $C_{1,2}$ Wiener criterion then the maximal solution is a large solution, i.e., it blows up everywhere on the boundary. In addition we discuss the question of uniqueness of large solutions.

Affiliated with

Also associated with

No associations

Rating

Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term 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 Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximal Solutions of Semilinear Elliptic Equations with Locally Integrable Forcing Term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-273069