| Title |
|
Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations |
|
|
| Publication Date |
|
| Author(s) |
|
| Type of document |
|
| Language |
|
| Entity Type |
|
| Publisher |
|
Khayyam Publishing Company, Inc |
|
|
| Place of publication |
|
| UNE publication id |
|
| Abstract |
|
We establish two general nonlinear Liouville theorems for equations of the type -Δu = h(x₁)f(u), u ≥ 0 in R^N, sup u < +∞. R^N We then show how these Liouville theorems can be used to obtain a priori estimates for positive solutions of indefinite superlinear elliptic equations for several new cases left open in previous research. |
|
|
| Link |
|
| Citation |
|
Advances in Differential Equations, 10(8), p. 841-860 |
|
|
| ISSN |
|
| Start page |
|
| End page |
|