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Basic Principles of Classical Mechanics
To describe the motion of mechanical systems one uses a variety of mathematical models which are based on different principles - laws of motion. In...
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Second order necessary condition for a strong minimum in the classical problem of calculus of variations
The paper offers a second order necessary condition for a strong minimum in the standard problem of calculus of variations. No idea of such a result...
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A strong form of the quantitative Wulff inequality for crystalline norms
Quantitative stability for crystalline anisotropic perimeters, with control on the oscillation of the boundary with respect to the corresponding...
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Two inertial hybrid projection algorithms for solving a class of split common solution problems
In this paper, we introduce two new inertial hybrid projection algorithms for solving the split common solution problem with multiple output sets. We...
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Clark Measures on Bounded Symmetric Domains
Given a bounded symmetric domain D , we study (positive) pluriharmonic functions on D and investigate a possible analogue of the family of Clark...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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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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\(C^{1,\alpha }\) 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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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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