Accessible Requires Authentication Published by De Gruyter March 10, 2016

On the Ambrosetti-Rabinowitz Superlinear Condition

Zhaoli Liu and Zhi-Qiang Wang

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.

Received: 2004-9-24
Published Online: 2016-3-10
Published in Print: 2004-11-1

© 2016 by Advanced Nonlinear Studies, Inc.