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arXiv:1301.7098 [math.AP]AbstractReferencesReviewsResources

Generalized fountain theorem and application to strongly indefinite semilinear problems

Cyril J. Batkam, Fabrice Colin

Published 2013-01-29Version 1

By using the degree theory and the $\tau-$topology of Kryszewski and Szulkin, we establish a version of the Fountain Theorem for strongly indefinite functionals. The abstract result will be applied for studying the existence of infinitely many solutions of two strongly indefinite semilinear problems including the semilinear Schr\"{o}dinger equation.

Journal: J. Math. Anal. Appl. 405 (2013) 438--452
Categories: math.AP
Subjects: 35A15, 35J50, 35J60
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