A compression type mountain pass theorem in conical shells


In this paper we present a compression type version of the mountain pass lemma in a conical shell with respect to two norms. An application to second-order ordinary differential equations is included.


Radu Precup
Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania


Critical point; Mountain pass lemma; Compression; Cone; Positive solution

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R. Precup, A compression type mountain pass theorem in conical shells, J. Math. Anal. Appl. 338 (2008), 1116-1130, https://doi.org/10.1016/j.jmaa.2007.06.007


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