Results 81 to 90 of about 469,372 (283)
Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential
Advances in Difference Equations, 2018 In this paper, we are concerned with the existence of periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential. Some new existence results are obtained by using the generalized saddle point theorem in critical point
Shengui Zhang
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A proof of Morseʼs theorem about the cancellation of critical points [PDF]
Comptes Rendus. Mathématique, 2013 In this Note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a pair of non-degenerate critical points of a smooth function. Our proof consists of a reduction to the one-dimensional case where the question becomes easy to answer.
openaire +4 more sources
Advanced Science, EarlyView.A deep comprehension of biomolecular phenomena at interfaces is significant with their fundamental and practical importance. Our experimental and theoretical investigations reveal that specific amino acids (glutamic acid and aspartic acid) exhibit an orientational coupling with liquid crystals, which can recognize and optically report the interfacial ...
Yena Choi +10 more
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Existence of fast homoclinic solutions for a class of second-order damped vibration systems
Boundary Value Problems, 2018 By applying the mountain pass theorem in critical point theory, the existence of fast homoclinic solutions is obtained for the following second-order damped vibration system: u¨(t)+q(t)u˙(t)−L(t)u(t)−a(t)|u(t)|p−2u(t)+∇W(t,u(t))=0, $$\ddot{u}(t)+q(t)\dot{
Qiongfen Zhang
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On a global implicit function theorem for locally Lipschitz maps via nonsmooth critical point theory
, 2017 We prove a non-smooth generalization of the global implicit function theorem. More precisely we use the non-smooth local implicit function theorem and the non-smooth critical point theory in order to prove a non-smooth global implicit function theorem ...
Galewski, M., Rădulescu, M.
core
Advanced Science, EarlyView.It is currently not well understood how cells regulate basic properties, e.g., volume and mechanics within dense multicellular environments like tumors. Here, we show that different cell types of cancer and also normal cells largely decrease their nuclear and cellular volumes in emerging cell clusters and that this is partly driven by cell cycle shifts.
Vaibhav Mahajan +13 more
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Journal of Function Spaces, 2014 Three periodic solutions with prescribed wavelength for a class of semilinear fourth-order differential inclusions are obtained by using a nonsmooth version critical point theorem. Some results of previous related literature are extended.
Bian-Xia Yang, Hong-Rui Sun
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Mathematical Modelling and Analysis, 2015 In this paper we consider the existence of almost homoclinic solutions for the following second order perturbed Hamiltonian systems ü- L(t)u + ∇W (t, u) = f (t), (PHS) where is a symmetric and positive definite matrix for all t ∈ R, W ∈ C1(R×Rn, R ...
Ziheng Zhang, Rong Yuan
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Advanced Science, EarlyView.This work provides a practical guide for neuroengineers to design advanced neural interfaces, embracing and tailoring the concept of functional disorder. By bridging 2D and 3D in vitro models, this work highlights how non‐periodic, spatially heterogeneous, multiscale nanotopography can enable more physiologically relevant platforms for studying neural ...
F. Maita +4 more
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