Multiple solutions of a superlinear p-Laplacian equation without AR-condition

Author： Sun Ming-Zheng  

Publisher： Taylor & Francis Ltd

ISSN： 0003-6811

Source： Applicable Analysis, Vol.89, Iss.3, 2010-03, pp. : 325-336

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Abstract

In this article, we consider a superlinear p-Laplacian equation which does not satisfy the Ambrosetti-Rabinowitz condition (AR-condition). Using the Morse theory, we obtain the existence and multiple sign changing solutions of this equation.

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