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2013 Infinitely Many Solutions of Superlinear Elliptic Equation
Anmin Mao, Yang Li
Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/769620


Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: Δ u = f ( x , u ) in Ω, u = 0 on , where N ( N > 2 ) is a bounded domain with smooth boundary and f is odd in u and continuous. There is no assumption near zero on the behavior of the nonlinearity f , and f does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.


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Anmin Mao. Yang Li. "Infinitely Many Solutions of Superlinear Elliptic Equation." Abstr. Appl. Anal. 2013 1 - 6, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1277.35152
MathSciNet: MR3055962
Digital Object Identifier: 10.1155/2013/769620

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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