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Boundary pointwise regularity and applications to the regularity of free boundaries
In this paper, we develop a series of boundary pointwise regularity for Dirichlet problems and oblique derivative problems. As applications, we give...
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On the Probabilistic Representation of the Free Effective Resistance of Infinite Graphs
We completely characterize when the free effective resistance of an infinite graph whose vertices have finite degrees can be expressed in terms of...
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2-divisibility of Some Odd Hole Free Graphs
Let G be a graph. We say that G is 2-divisible if for each induced subgraph H of G , either V ( H ) is a stable set, or V ( H ) can be partitioned into two...
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Conflict-free electric vehicle routing problem: an improved compositional algorithm
The Conflict-Free Electric Vehicle Routing Problem (CF-EVRP) is a combinatorial optimization problem of designing routes for vehicles to execute...
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Chebyshev polynomial-based Ritz method for thermal buckling and free vibration behaviors of metal foam beams
This study presents the Chebyshev polynomials-based Ritz method to examine the thermal buckling and free vibration characteristics of metal foam...
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Dimension-free bounds and structural results in communication complexity
The purpose of this article is to initiate a systematic study of dimension-free relations between basic communication and query complexity measures...
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Basic đť•‹-Spaces in the Relatively Free Grassmann Algebra Without Unity
In this paper, we consider the đť•‹-space structure of the relatively free Grassmann algebra đť”˝ (3) without unity over an infinite field of prime and...
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Flux Globalization Based Well-Balanced Central-Upwind Schemes for Hydrodynamic Equations with General Free Energy
We develop flux globalization based well-balanced central-upwind schemes for hydrodynamic equations with general free energy. The proposed schemes...
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Model-Free Stabilization in the Presence of Actuator Saturation
This chapter focuses on constrained control problems involving actuator saturation. A low gain feedback approach is adopted in the context of...
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On the Index of Minimal Surfaces with Free Boundary in a Half-Space
We study the Morse index of minimal surfaces with free boundary in a half-space. We improve previous estimates relating the Neumann index to the...
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Linear isoperimetric inequalities for free boundary submanifolds in a geodesic ball
We derive linear isoperimetric inequalities for free boundary submanifolds in a geodesic ball of a Riemannian manifold in terms of the modified...
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Free Cyclic Actions on Surfaces and the Borsuk—Ulam Theorem
Let M and N be topological spaces, let G be a group, and let τ : G × M → M be a proper free action of G . In this paper, we define a Borsuk—Ulam-type...
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Fluctuations of the free energy in p-spin SK models on two scales
20 years ago, Bovier, Kurkova, and Löwe (Ann Probab 30(2):605–651, 2002) proved a central limit theorem (CLT) for the fluctuations of the free energy...
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The free energy of spherical pure p-spin models: computation from the TAP approach
We compute the free energy at all temperatures for the spherical pure p -spin models from the generalized Thouless–Anderson–Palmer representation....
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On a two-phase free boundary problem ruled by the infinity Laplacian
In this paper we consider a two-phase free boundary problem ruled by the infinity Laplacian. Our main result states that bounded viscosity solutions...
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Structure Preserving Finite Volume Approximation of Cross-Diffusion Systems Coupled by a Free Interface
We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to...
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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
We propose a model-free shrinking-dimer saddle dynamics for finding any-index saddle points and constructing the solution landscapes, in which the...
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Basic đť•‹-Spaces in the Relatively Free Grassmann Algebra Without Unity
In this paper, we consider the đť•‹-space structure of the relatively free Grassmann algebra đť”˝ (3) without unity over an infinite field of prime and...