2021
DOI: 10.4310/cms.2021.v19.n1.a6
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Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs

Abstract: The local minimax method (LMM) proposed in [Y.

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Cited by 6 publications
(10 citation statements)
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“…v are continuous at v. In view of Lemmas 2.2-2.4 and in accordance with the lines in the proof of Lemmas 3.6-3.7 in [26], one can obtain the following result, which is actually an improved version of Lemma 2.1 in [23] and Lemma 2.13 in [40] since the domain of the local peak selection is changed from S ∩ L ⊥ to S. Lemma 2.5 ([26]). Suppose E ∈ C 1 (X, R) and let p(v) = t v v + w L v be a local peak selection of E w.r.t.…”
Section: Local Minimax Principlesupporting
confidence: 83%
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“…v are continuous at v. In view of Lemmas 2.2-2.4 and in accordance with the lines in the proof of Lemmas 3.6-3.7 in [26], one can obtain the following result, which is actually an improved version of Lemma 2.1 in [23] and Lemma 2.13 in [40] since the domain of the local peak selection is changed from S ∩ L ⊥ to S. Lemma 2.5 ([26]). Suppose E ∈ C 1 (X, R) and let p(v) = t v v + w L v be a local peak selection of E w.r.t.…”
Section: Local Minimax Principlesupporting
confidence: 83%
“…The following two lemmas follow from direct calculations and their proofs are referred to those of Lemmas 3.2-3.4 in [26].…”
Section: Local Minimax Principlementioning
confidence: 99%
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