Results 11 to 20 of about 21,227 (266)
Journal of Differential Equations, 1985 In this paper we establish a new version of the well-known theorem of Ambrosetti and Rabinowitz on the existence of critical points for functionals \(I: X\to {\mathbb{R}}\) of class \(C^ 1\) on a real Banach space X. As usual, a compactness condition of Palais-Smale type is assumed throughout, including a version particularly suited to the periodic ...
PUCCI, Patrizia, J. SERRIN
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Advanced Nonlinear Studies, 2019 We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
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A Mountain Pass for Reacting Molecules [PDF]
Annales Henri Poincaré, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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British Educational Research Journal, EarlyView., 2023 Abstract Early childhood has increasingly been acknowledged as a vital time for all children. Inclusive and quality education is part of the United Nations Sustainable Development Goals, with the further specification that all children have access to quality pre‐primary education.
Laura H. V. Wright +8 more
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Extensions of the mountain pass theorem
Journal of Functional Analysis, 1984 The paper contains a number of extensions of the mountain pass lemma of \textit{A. Ambrosetti} and \textit{P. H. Rabinowitz} [(*) ibid. 14, 349-381 (1973; Zbl 0273.49063)]. The lemma gives sufficient conditions for the existence of critical points of continuously Fréchet differentiable functionals \(I: X\to {\mathbb{R}}\) on a real Banach space X.
PUCCI, Patrizia, J. SERRIN
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An extension of the mountain pass lemma
Applied Mathematics Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lizhou Wang, Dongsheng Li
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Advances in Difference Equations, 2019 In this paper, we prove a new quantitative deformation lemma, and then gain a new mountain pass theorem in Hilbert spaces. By using the new mountain pass theorem, we obtain the new existence of two nontrivial periodic solutions for a class of nonlinear ...
Liang Ding, Jinlong Wei, Shiqing Zhang
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A mountain pass algorithm with projector
Journal of Computational and Applied Mathematics, 2012 Minimax methods are essential tools in the analysis of semilinear PDE by using the famous mountain pass theorem. In this paper, a modification of Chen, Ni, and Zhou's algorithm is presented. This modification guarantees that the critical points found are fixed-points of a metric projector on a closed cone.
Nicolas Tacheny, Christophe Troestler
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Аж богдын нурууны физик газарзүйн тодорхойлолт
Proceedings of the Mongolian Academy of Sciences, 2017 Mountain Aj Bogd is one of branch mountains the mount systems Mongol Altai, which is located at the middle part of Mongol Altai mountain. Mountain Aj Bogd is similar with surface typology, deposits, form relief, erosion and accumulation process, mountain
Авирмэд Э +1 more
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A bisection algorithm for the numerical Mountain Pass [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2007 We propose a constructive proof for the Ambrosetti-Rabinowitz Mountain Pass Theorem providing an algorithm, based on a bisection method, for its implementation. The efficiency of our algorithm, particularly suitable for problems in high dimensions, consists in the low number of flow lines to be computed for its convergence; for this reason it improves ...
Barutello, V, TERRACINI, SUSANNA
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