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

Yihong Du; Shujie Li

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

Yihong Du
, Shujie Li

Mathematics

Research output: Contribution to journal › Article › peer-review

38 Citations (Scopus)

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.

Original language	English
Pages (from-to)	841-860
Journal	Advances in Differential Equations
Volume	10
Issue number	8
Publication status	Published - 2005

Keywords

Mathematical Sciences

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title = "Nonlinear Liouville Theorems and a Priori Estimates for Indefinite Superlinear Elliptic Equations",

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author = "Yihong Du and Shujie Li",

year = "2005",

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AU - Du, Yihong

AU - Li, Shujie

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AB - 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.

KW - Mathematical Sciences

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M3 - Article

SN - 1079-9389

VL - 10

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EP - 860

JO - Advances in Differential Equations

JF - Advances in Differential Equations

IS - 8

ER -

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

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