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Generalized linking-type theorem with applications to strongly indefinite problems with sign-changing nonlinearities
We show a linking-type result which allows us to study strongly indefinite problems with sign-changing nonlinearities. We apply the abstract theory...
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Some ‘Converses’ to Intrinsic Linking Theorems
A low-dimensional version of our main result is the following ‘converse’ of the Conway–Gordon–Sachs Theorem on intrinsic linking of the graph
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Linking Methods for Componentwise Variational Systems
The paper deals with the equilibrium solutions of two-equation systems in which each component equation has a variational structure. Solutions are...
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Generalization of the Conway–Gordon Theorem and Intrinsic Linking on Complete Graphs
Conway and Gordon proved that for every spatial complete graph on six vertices, the sum of the linking numbers over all of the constituent...
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Quasilinear Equations Using a Linking Structure with Critical Nonlinearities
It is to establish existence of a weak solution for quasilinear elliptic problems assuming that the nonlinear term is critical. The potential V is...
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Hermite polynomials linking Szász–Durrmeyer operators
The aim of present article is to introduce the Szász-integral type sequences of operators in terms of Hermite polynomials and gamma function....
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A Formula for the Linking Number in Terms of Isometry Invariants of Straight Line Segments
AbstractThe linking number is usually defined as an isotopy invariant of two non-intersecting closed curves in 3-dimensional space. However, the...
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A Mean Value Theorem for Tangentially Convex Functions
The main result is an equality type mean value theorem for tangentially convex functions in terms of tangential subdifferentials, which generalizes...
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Ideal Submodules Versus Ternary Ideals Versus Linking Ideals
We show that ideal submodules and closed ternary ideals in Hilbert modules are the same. We use this insight as a little peg on which to hang a...
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Support Theorem for Lévy-driven Stochastic Differential Equations
We provide a support theorem for the law of the solution to a stochastic differential equation (SDE) with jump noise. This theorem applies to quite...
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Linking within- and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance
Understanding both the epidemiological and evolutionary dynamics of antimicrobial resistance is a major public health concern. In this paper, we...
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Linking Numbers in Three-Manifolds
Let M be a connected, closed, oriented three-manifold and K , L two rationally null-homologous oriented simple closed curves in M . We give an explicit...
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A topological shadowing theorem
We prove a topological version of the classical shadowing theorem in differentiable dynamics (Encyclopedia of Mathematics and its Applications, vol....
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A non compact Krylov–Bogolioubov theorem
We show that each locally uniformly Lipschitz and minimal action of a locally compact group G on a locally compact metrisable space X admits an...
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