On the Ambrosetti-Rabinowitz Superlinear Condition-Reference-Cited by-同舟云学术

On the Ambrosetti-Rabinowitz Superlinear Condition

Published:2004-11-01 Issue:4 Volume:4 Page:563-574
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Liu Zhaoli¹,Wang Zhi-Qiang²

Affiliation:

1. Department of Mathematics, Capital Normal University Beijing 100037, P.R. China

2. Department of Mathematics and Statistics, Utah State University Logan, Utah 84322, USA

Abstract

Abstract We present various results on multiple solutions for superlinear elliptic equations in a bounded domain or in the whole space. With a Nehari type condition assumed, we show that the standard Ambrosetti-Rabinowitz superlinear condition can be replaced by a more natural super-quadratic condition.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2004-0411/pdf

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