Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

Jaeyoung Byeon; Kazunaga Tanaka

Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

Jaeyoung Byeon^*, Kazunaga Tanaka

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

6 Citations (Scopus)

Abstract

We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in R^ℓ, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions [1] and Berestycki- Gallouët-Kavian [3].

Original language	English
Pages (from-to)	749-765
Number of pages	17
Journal	Advanced Nonlinear Studies
Volume	12
Issue number	4
Publication status	Published - 2012

Keywords

Nonlinear Elliptic Equations
Strip-Like Domains

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)

Cite this

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title = "Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti",

abstract = "We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in Rℓ, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions [1] and Berestycki- Gallou{\"e}t-Kavian [3].",

keywords = "Nonlinear Elliptic Equations, Strip-Like Domains",

author = "Jaeyoung Byeon and Kazunaga Tanaka",

note = "Funding Information: Supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0030749) and Mid-career Researcher Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (MEST) (No. 2010-0014135) Supported in part by Grant-in-Aid for Scientific Research (B)(No. 20340037) of Japan Society for the Promotion of Science",

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language = "English",

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journal = "Advanced Nonlinear Studies",

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TY - JOUR

T1 - Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

AU - Byeon, Jaeyoung

AU - Tanaka, Kazunaga

N1 - Funding Information: Supported by Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education, Science and Technology (No. 2011-0030749) and Mid-career Researcher Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (MEST) (No. 2010-0014135) Supported in part by Grant-in-Aid for Scientific Research (B)(No. 20340037) of Japan Society for the Promotion of Science

PY - 2012

Y1 - 2012

N2 - We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in Rℓ, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions [1] and Berestycki- Gallouët-Kavian [3].

AB - We study the existence of a positive solution of a nonlinear elliptic equation Mathematical equation represented where k ≥ 2 and D is a bounded domain in Rℓ, ℓ ≥ 1. We give almost necessary and sufficient condition on f (ℰ) for the existence of a positive solution, which is inspired by the works of Berestycki-Lions [1] and Berestycki- Gallouët-Kavian [3].

KW - Nonlinear Elliptic Equations

KW - Strip-Like Domains

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M3 - Article

AN - SCOPUS:84870944628

SN - 1536-1365

VL - 12

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JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

IS - 4

ER -

Nonlinear elliptic equations in strip-like domains dedicated to Professor Antonio Ambrosetti

Abstract

Keywords

ASJC Scopus subject areas

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