On explosive solutions for a class of quasi-linear elliptic equations (Q2866674)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On explosive solutions for a class of quasi-linear elliptic equations |
scientific article; zbMATH DE number 6238500
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On explosive solutions for a class of quasi-linear elliptic equations |
scientific article; zbMATH DE number 6238500 |
Statements
13 December 2013
0 references
quasi-linear elliptic equations
0 references
large solutions
0 references
existence and qualitative behavior
0 references
0 references
On explosive solutions for a class of quasi-linear elliptic equations (English)
0 references
The authors discuss the existence, multiplicity, and qualitative properties for solutions of problems NEWLINE\[NEWLINE \text{div}(a(u)Du) = \frac{a'(u)}{2}|Du|^2 + f(u) \;\;\text{ for } \;\;x \in \Omega, NEWLINE\]NEWLINE where \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^N\), so that \(u(x) \to \infty\) as \(\text{dist}(x, \partial \Omega) \to 0\). The rate of blow-up at the boundary is discussed, as well as the symmetry of solutions in the case \(\Omega\) is a ball.
0 references
