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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin...
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Epidemic modelling by birth-death processes with spatial scaling
In epidemic modeling, interpretation of compartment quantities, such as s , i , and r in relevant equations, is not always straightforward. Ambiguities...
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New Existence Results for Evolutionary Quasi-Hemi-Variational Inequalities with Semi-monotone Maps and Applications to Optimal Control Problems
The paper presents new results for the existence of solutions for an evolutionary quasi-hemi-variational inequality, which involves a semi-monotone...
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\(C^{1,\alpha }\) regularity for stationary mean-field games with logarithmic coupling
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The...
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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
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Reducibility of Three Dimensional Skew Symmetric System with High Dimensional Weak Liouvillean Frequencies
In this paper, we consider the reducibility of three-dimensional skew symmetric systems. We obtain a reducibility result if the base frequency is...
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On Variational Principles of Metric Mean Dimension on Subsets in Feldman–Katok Metric
In this paper, we studied the metric mean dimension in Feldman–Katok (FK for short) metric. We introduced the notions of FK-Bowen metric mean...
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A Note on the Entropy for Heisenberg Group Actions on the Torus
In this paper, the entropy of discrete Heisenberg group actions is considered. Let α be a discrete Heisenberg group action on a compact metric space X. ...
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On S-Weyl’s theorem and property (t) for some classes of operators
In this paper we consider two new variants of the classical Weyl ’s theorem for operators defined on Banach spaces. These variants called S -Weyl’s...
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Some results on conjugacy class sizes of primary elements of a finite group
We establish results on the conjugacy class sizes of elements of of prime-power order in a finite group. On the way, we improve results by a number...
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BV estimates on the transport density with Dirichlet region on the boundary
In this paper, we prove BV regularity on the transport density in the mass transport problem to the boundary in two dimensions under certain...
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Sliding method and one-dimensional symmetry for p-Laplace equations
Let f be a sign-changing locally Lipschitz continuous function which satisfies some mild assumptions. We show that every nonnegative solution to the...