Nonlinear Elliptic Equations in Strip-Like Domains-Reference-Cited by-同舟云学术

Nonlinear Elliptic Equations in Strip-Like Domains

Published:2012-11-01 Issue:4 Volume:12 Page:749-765
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Byeon Jaeyoung¹,Tanaka Kazunaga²

Affiliation:

1. Department of Mathematics, Pohang University of Science and Technology Pohang, Kyungbuk 790-784, Republic of Korea

2. Department of Mathematics School of Science and Engineering, Waseda University 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan

Abstract

Abstract We study the existence of a positive solution of a nonlinear elliptic equation

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

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2012-0406/pdf

Reference5 articles.

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4. Nonlinear elliptic problems in strip - like domains : symmetry of positive vortex rings Nonlinear no;Esteban;Anal,1983

5. Nonlinear scalar ﬁeld equations Existence of a ground state Arch Ratio - nal no;Berestycki;Mech Anal,1983

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