Results 11 to 20 of about 5,423,449 (300)
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
doaj +3 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
core +7 more sources
Bending-Stable Pressure Sensor Based on Natural Wood Nanofibers for Ultra-Low Detection Limit. [PDF]
Adv Sci (Weinh)A wood nanofiber‐based flexible pressure sensor with intrinsic bending‐stable performance is developed through a porous electrospun architecture and interdigital electrode design. The device exhibits an ultra‐low detection limit and stable operation under deformation for physiological monitoring and spatial sensing, providing a sustainable strategy for
Zeng X +7 more
europepmc +2 more sources
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
core +1 more source
Discrete Morse theory on digraphs [PDF]
Pure and Applied Mathematics Quarterly, 2021 In this paper, we give a necessary and sufficient condition that discrete Morse functions on a digraph can be extended to be Morse functions on its transitive closure, from this we can extend the Morse theory to digraphs by using quasi-isomorphism between path complex and discrete Morse complex, we also prove a general sufficient condition for digraphs
Lin, Yong, Wang, Chong, Yau, Shing-Tung
openaire +2 more sources
Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation
Discrete Dynamics in Nature and Society, 2015 Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane ...
Jing Luan, Zhong Yao
doaj +1 more source
Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities
Boundary Value Problems, 2010 The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.
Ruichang Pei
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source