Mathematics – Analysis of PDEs
Scientific paper
2010-11-21
Mathematics
Analysis of PDEs
Scientific paper
We study the semilinear elliptic inequality $-\Delta u\geq\varphi(\delta_K(x))f(u)$ in $R^N\setminus K,$ where $\varphi, f$ are non-negative and continuous functions, $K\subset R^N$ $(N\geq 2)$ is a compact set and $\delta_K(x)={\rm dist}(x,\partial K)$. We obtain optimal conditions in terms of $\varphi$ and $f$ for the existence of $C^2$ positive solutions. Our analysis emphasizes the role played by the geometry of the compact set $K$.
Ghergu Marius
Taliaferro Steven D.
No associations
LandOfFree
Semilinear elliptic inequalities in the exterior of a compact set 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 Semilinear elliptic inequalities in the exterior of a compact set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semilinear elliptic inequalities in the exterior of a compact set will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-221581