Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations

Author(s)
Du, Yihong
Li, Shujie
Publication Date
2005
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.
Citation
Advances in Differential Equations, 10(8), p. 841-860
ISSN
1079-9389
Link
https://hdl.handle.net/1959.11/4007
Publisher
Khayyam Publishing Company, Inc
Title
Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations
Type of document
Journal Article
Entity Type
Publication

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