Results 11 to 20 of about 814,404 (292)
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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A Mountain Pass for Reacting Molecules [PDF]
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Lewin, Mathieu
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The mountain pass alternative [PDF]
The paper develops variational methods allowing to find the critical points of a continuously differentiable functional on a real Banach space. A modification of the mountain pass lemma concerning sequences that tend to the studied critical points is given.
Schechter, Martin
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A Thickness-Invariant Origami Robot With Integrated Actuation and Multimodal Locomotion. [PDF]
A thickness‐invariant variation on the Yoshimura origami pattern is used as the basis of a robot, allowing power, actuation, and control systems to be embedded within the thickened panels of the pattern. The robot uses multiple kinematic branches to achieve distinct modes of locomotion, such as walking, running, galloping, and turning. ABSTRACT Origami
Wing D +4 more
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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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An extension of the mountain pass lemma
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Lizhou Wang, Dongsheng Li
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A mountain pass algorithm with projector
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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Framing the Human Dimensions of Mountain Systems: Integrating Social Science Paradigms for a Global Network of Mountain Observatories [PDF]
The Global Network of Mountain Observatories (GNOMO) is an international initiative seeking to increase communication and collaboration and align methodologies to assess commonalities and differences across the world's mountain landscapes.
Flint, Courtney G., Courtney G. Flint
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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
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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