Open Access
September/October 2013 A variant of mountain pass theorem
Gabriele Bonanno, Giuseppina D'Aguì
Differential Integral Equations 26(9/10): 1149-1156 (September/October 2013). DOI: 10.57262/die/1372858568


An existence result for a critical point of mountain-pass type, where the classical Palais--Smale condition is not required, is presented. A multiple-critical-point result is then obtained. As an application, the existence of two positive classical solutions for two-point boundary-value problems, without assuming any asymptotic condition on the nonlinearity, is obtained.


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Gabriele Bonanno. Giuseppina D'Aguì. "A variant of mountain pass theorem." Differential Integral Equations 26 (9/10) 1149 - 1156, September/October 2013.


Published: September/October 2013
First available in Project Euclid: 3 July 2013

zbMATH: 1299.35121
MathSciNet: MR3100083
Digital Object Identifier: 10.57262/die/1372858568

Primary: 35J20 , 35J60 , 49J35 , 49J52

Rights: Copyright © 2013 Khayyam Publishing, Inc.

Vol.26 • No. 9/10 • September/October 2013
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