Results 41 to 50 of about 279 (111)

Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type

Abstract and Applied Analysis, 2014
We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions.
Yuping Cao, Chuanzhi Bai
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Three Nontrivial Solutions for Second-Order Partial Difference Equation via Morse Theory

Journal of Function Spaces, 2022
In the present paper, we consider a second-order nonlinear partial difference equation with Dirichlet boundary conditions. Applying variational method together with the Morse theory, we establish a criterion to obtain at least three nontrivial solutions.
Yuhua Long, Huan Zhang
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Morse Theory and Tilting Sheaves [PDF]

Pure and Applied Mathematics Quarterly, 2006
Dedicated to R.
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Three nontrivial solutions for nonlinear fractional Laplacian equations

Advances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze, Iannizzotto Antonio   +1 more
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The topological particle and Morse theory [PDF]

Classical and Quantum Gravity, 2000
Canonical BRST quantization of the topological particle defined by a Morse function h is described. Stochastic calculus, using Brownian paths which implement the WKB method in a new way providing rigorous tunnelling results even in curved space, is used to give an explicit and simple expression for the matrix elements of the evolution operator for the ...
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Existence of three solutions for higher order BVP with parameters via Morse theory

Electronic Journal of Differential Equations, 2016
We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.
Mariusz Jurkiewicz, Bogdan Przeradzki
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Multiple solutions for a class of fractional equations

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper we study a class of fractional Laplace equations with asymptotically linear right-hand side. The existence results of three nontrivial solutions under the resonance and non-resonance conditions are established by using the minimax method ...
Ruichang Pei, Jihui Zhang, Caochuan Ma
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Multiplicity results for p-sublinear p-Laplacian problems involving indefinite eigenvalue problems via Morse theory

Electronic Journal of Differential Equations, 2010
We establish some multiplicity results for a class of p-sublinear p-Laplacian problems involving indefinite eigenvalue problems using Morse theory.
Kanishka Perera, Ravi P. Agarwal, Donal O'Regan   +2 more
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Morse Sequences: A Simple Approach to Discrete Morse Theory

Journal of Mathematical Imaging and Vision
In this paper, we develop the notion of a Morse sequence, which provides an alternative approach to discrete Morse theory, and which is both simple and effective. A Morse sequence on a finite simplicial complex is a sequence composed solely of two elementary operations, that is, expansions (the inverse of a collapse), and fillings (the inverse of a ...
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Discrete Morse Theory Is At Least As Perfect As Morse Theory

, 2010
In bounding the homology of a manifold, Forman's Discrete Morse theory recovers the full precision of classical Morse theory: Given a PL triangulation of a manifold that admits a Morse function with c_i critical points of index i, we show that some subdivision of the triangulation admits a boundary-critical discrete Morse function with c_i interior ...
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