Results 51 to 60 of about 279 (111)
, 2002 Abstract Since the publication of Milnor’s book [47] in 1963, Morse theory has been a standard topic in the education of geometers and topologists. This book established such high standards for clarity of exposition and mathematical influence that it has been reprinted several times, and it is still the most popular introductory ...
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Towards a Morse theory on Banach spaces via ultrafunctions
Arab Journal of Mathematical Sciences, 2015 Morse Theory on Banach spaces would be a useful tool in nonlinear analysis but its development is hindered by many technical problems. In this paper we present an approach based on a new notion of generalized functions called “ultrafunctions” which ...
Vieri Benci, Isaia Nisoli
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Prouhet-Thue-Morse sequence and atomic functions in applications of physics and techniques
Journal of Measurement Science and Instrumentation, 2015 In present article a number of results are described in a systematic way concerning both signal and image processing problems with respect to atomic functions theory and Prouhet-Thue-Morse sequence.
Victor F Kravchenko +2 more
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Topology and its Applications, 2002 The authors define the Morse polynomial for a \(G\)-equivariant Morse function \(f\) defined on \(M\), where \(G\) is a finite group acting semifreely on the compact manifold \(M\). If \(\text{codim} (M^G)\leq 2\) and if \(f\) is an equivariant Morse function on \(M\) such that \(f|_MG\) is also a Morse function, then they show that the Morse ...
Datta, Mahuya, Pandey, Neeta
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Multiple Closed Geodesics on Positively Curved Finsler Manifolds
Advanced Nonlinear Studies, 2019 In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1 ...
Wang Wei
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Boundary Value Problems, 2018 In this paper, we study a class of biharmonic equations with a singular potential in RN $\mathbb{R}^{N}$. Under appropriate assumptions on the nonlinearity, we establish some existence results via the Morse theory and variational methods.
Chengfang Zhou, Zigen Ouyang
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Multiple solutions for an indefinite Kirchhoff-type equation with sign-changing potential
Electronic Journal of Differential Equations, 2015 In this article, we study a Kirchhoff-type equation with sign-changing potential on an infinite domain. Using Morse theory and variational methods, we show the existence of two and of infinitely many nontrivial solutions.
Hongliang Liu, Haibo Chen
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Existence and multiplicity of solutions for a class of superlinear p-Laplacian equations
Advances in Nonlinear AnalysisIn this work, we investigate a class of pp-Laplacian equations with the Dirichlet boundary condition. Under some new conditions, the existence and multiplicity of nontrivial solutions are proved by means of the variational methods.
Zhao Tai-Jin, Li Chun
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Morse theory for complexes of groups
Journal of Pure and Applied Algebra31 pages, 6 ...
Yerolemou, N, Nanda, V
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