Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains

Tsing San Hsu

doi:10.1155/2009/687385

Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains

Tsing San Hsu^*

^*Corresponding author for this work

Division of Natural Science

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

Abstract

We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem -Δu+u=a(x) | u |^p-2 u+f(x) in Ω has a solution that changes sign in Ω, in addition to two positive solutions where Ω is an unbounded cylinder domain in R^N.

Original language	English
Article number	687385
Journal	Boundary Value Problems
Volume	2009
DOIs	https://doi.org/10.1155/2009/687385
State	Published - 2009

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title = "Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains",

abstract = "We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem -Δu+u=a(x) | u |p-2 u+f(x) in Ω has a solution that changes sign in Ω, in addition to two positive solutions where Ω is an unbounded cylinder domain in RN.",

author = "Hsu, {Tsing San}",

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AB - We show that if a(x) and f(x) satisfy some suitable conditions, then the Dirichlet problem -Δu+u=a(x) | u |p-2 u+f(x) in Ω has a solution that changes sign in Ω, in addition to two positive solutions where Ω is an unbounded cylinder domain in RN.

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Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains

Abstract

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