Existence of solutions of semilinear elliptic equations in flat interior flask domains

Chiau Ing Lin; Huei Li Lin; Hwai Chiuan Wang

Existence of solutions of semilinear elliptic equations in flat interior flask domains

Chiau Ing Lin^*
, Huei Li Lin
, Hwai Chiuan Wang

^*Corresponding author for this work

National Tsing Hua University

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

Abstract

In this article, we assert that there exists a positive ground state solution of equation (1) in a flat interior flask domain: the Esteban-Lions domain S_o^r by adding an arbitrary small width but sufficient long corridor. In order to prove our main result, we establish an index comparison criterion: if α(Ω) < α(Ω̃ _n) for some n ∈ N, then there is a positive ground State solution of equation (1) in Ω.

Original language	English
Pages (from-to)	81-90
Number of pages	10
Journal	Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume	10
Issue number	1-3
State	Published - 02 2003
Externally published	Yes

Keywords

Ground state solutions
Index
Interior flask domain
Palais-Smale condition
Semilinear elliptic equations

Cite this

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title = "Existence of solutions of semilinear elliptic equations in flat interior flask domains",

abstract = "In this article, we assert that there exists a positive ground state solution of equation (1) in a flat interior flask domain: the Esteban-Lions domain Sor by adding an arbitrary small width but sufficient long corridor. In order to prove our main result, we establish an index comparison criterion: if α(Ω) < α({\~Ω} n) for some n ∈ N, then there is a positive ground State solution of equation (1) in Ω.",

keywords = "Ground state solutions, Index, Interior flask domain, Palais-Smale condition, Semilinear elliptic equations",

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T1 - Existence of solutions of semilinear elliptic equations in flat interior flask domains

AU - Lin, Chiau Ing

AU - Lin, Huei Li

AU - Wang, Hwai Chiuan

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Y1 - 2003/2

N2 - In this article, we assert that there exists a positive ground state solution of equation (1) in a flat interior flask domain: the Esteban-Lions domain Sor by adding an arbitrary small width but sufficient long corridor. In order to prove our main result, we establish an index comparison criterion: if α(Ω) < α(Ω̃ n) for some n ∈ N, then there is a positive ground State solution of equation (1) in Ω.

AB - In this article, we assert that there exists a positive ground state solution of equation (1) in a flat interior flask domain: the Esteban-Lions domain Sor by adding an arbitrary small width but sufficient long corridor. In order to prove our main result, we establish an index comparison criterion: if α(Ω) < α(Ω̃ n) for some n ∈ N, then there is a positive ground State solution of equation (1) in Ω.

KW - Ground state solutions

KW - Index

KW - Interior flask domain

KW - Palais-Smale condition

KW - Semilinear elliptic equations

UR - https://www.scopus.com/pages/publications/4644283871

M3 - 文章

AN - SCOPUS:4644283871

SN - 1201-3390

VL - 10

SP - 81

EP - 90

JO - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

JF - Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

IS - 1-3

ER -

Existence of solutions of semilinear elliptic equations in flat interior flask domains

Abstract

Keywords

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