A bounded mountain pass lemma without the (PS) condition and applications

Schechter, Martin

doi:10.1090/S0002-9947-1992-1064270-1

A bounded mountain pass lemma without the (PS) condition and applications
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Trans. Amer. Math. Soc. 331 (1992), 681-703 Request permission

Abstract:

We present a version of the mountain pass lemma which does not require the ($\mathbf {PS}$) condition. We apply this version to problems where the ($\mathbf {PS}$) condition is not satisfied.

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