Results 11 to 20 of about 5,609,663 (254)
Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity [PDF]
Abstract and Applied Analysis, 2006 The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown. Techniques of Morse theory are employed.
Sergio Lancelotti
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A Recyclable and Biodegradable High-Performance Piezoelectric Nanogenerator for Self-Powered Biosensing and Assistive Human-Machine Interaction. [PDF]
Adv Sci (Weinh)By exploiting multiscale hydrogen‐bonding interactions between HFPD and TOCNF, the composite simultaneously achieves a high piezoelectric coefficient (14.0 pC·N−1), outstanding flexibility (100 000 bending cycles), water‐assisted recyclability, excellent biodegradability, and sensitive wearable/implantable sensing for motion, speech, and Morse code ...
Luo T +9 more
europepmc +2 more sources
, 2011 This study will mainly concentrate on Morse Theory. Morse Theory is the study of the relations between functions on a space and the shape of the space. The main part of Morse Theory is to look at the critical points of a function, and to find information
Naim, Rozaena
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A Note on the Degenerate Morse Inequalities [PDF]
, 2000 In this paper we give an analytic proof of the degenerate Morse inequalities in the spirit of E. Witten. The max-min methods are used to estimate the number of ‘small’ eigenvalues of Witten’s deformed Laplacian.
Jianwei, Zhou
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Generalizations of discrete Morse theory [PDF]
, 2018 We generalize Forman’s discrete Morse theory, on one end by developing a discrete analogue of Morse-Bott theory for CW complexes, motivated by Morse-Bott theory in the smooth setting. On the other, motivated by J-N.
Yaptieu Djeungue, Odette Sylvia +1 more
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Periodic solutions of second order Hamiltonian systems with nonlinearity of general linear growth
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper we consider a class of second order Hamiltonian system with the nonlinearity of linear growth. Compared with the existing results, we do not assume an asymptotic of the nonlinearity at infinity to exist. Moreover, we allow the system to be
Guanggang Liu
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
Discrete Dynamics in Nature and Society, 2011 By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=
Jianmin Guo, Caixia Guo
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Easy Access to Experimental Bond Dissociation Energies in Solution Using 2D‐IR Spectroscopy
Angewandte Chemie, EarlyView.How strong is a chemical bond? The answer is hidden in the spacing of vibrational levels. This anharmonic fingerprint yields the energy needed to break an X─H bond from a single measurement, turning an ultrafast observable into a thermochemical quantity directly in the solvent of interest.
Joseph Kölbel +2 more
wiley +2 more sources
International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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Higgs bundles for M-theory on G 2-manifolds
Journal of High Energy Physics, 2019 M-theory compactified on G 2-holonomy manifolds results in 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a ...
Andreas P. Braun +3 more
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