The Asymptotic Plateau Problem for H-Surfaces 17
On solving the plateau problem in parametric form
... Using the properties of minimal surfaces we succeded in transfering the problem of finding the minimal surface to a problem of minimizing a functional over a class of scalar functions.. [r] ...
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The horizon problem for prevalent surfaces
... ‘horizon property’, namely that the box dimension of the horizon is one less than that of the surface. Since a prevalent surface has box dimension 3, this does not give us any information about the horizon of ...
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The Plateau problem from the perspective of optimal transport
... [4] M. Beckmann. A continuous model of transportation. Econometrica, 20:643–660, 1952. [5] G. Birkhoff. Tres observaciones sobre el algebra lineal. Rev. Univ. Nac. Tucumàn Ser. A, Mat. Fis. Teor., 5:147–150, 1946. [6] ...
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Boundary Asymptotic and Uniqueness of Solution for a Problem with Laplacian
... Recommended by Alexander Domoshnitsky The goal of this paper is to prove the boundary asymptotic behavior of solutions for weighted px-Laplacian equations that take infinite value on a bounded domain. Copyright q ...
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A Sequential Allocation Problem: The Asymptotic Distribution of Resources
... i=1 c i . 3. Properties of the solution design We have pointed out the limitations of game theory as a tool to deal with sequential allocation problems as the one in the present paper. Moreover, we do not assume ...
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Asymptotic results for the Generalized Bin Packing Problem
... We propose two semi-online settings where items arriving online are not directly packed into bins but are placed into a buffer. In the first setting, the buffer has a capacity of k > 1 items. When the buffer is full, ...
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Asymptotic results for the Generalized Bin Packing Problem
... We propose two semi-online settings where items arriving online are not directly packed into bins but are placed into a buffer. In the first setting, the buffer has a capacity of k > 1 items. When the buffer is full, ...
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Asymptotic distributions of Neumann problem for Sturm-Liouville equation
... order asymptotic distribution of the eigenvalues and eigenfunctions associated with the linear real second order equation of Sturm-liouville type on [0, π] with Neumann conditions (y ′ (0) = y ′ (π) = 0) where q ...
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A computational approach to an optimal partition problem on surfaces
... the problem for a Cartesian ...The problem can be seen as a the strong competition limit of segregating species either in Bose-Einstein condensate (Chang, Lin, Lin and Lin 2004), popula- tion dynamics ...
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Asymptotic stability for a symmetric parabolic problem modeling Ohmic heating
... (a+2 π b 1 0 f(u)r dr) 2 , for 0 < r < 1, t > 0, with a homogeneous Dirichlet boundary condition. The equation is the so-called Ohmic-heating model, which comes from thermal electricity in this paper, u and f (u) ...
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Asymptotic Estimates for Second Order Parameterized Singularly Perturbed Problem
... This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/ Abstract The boundary value problem (BVP) for parameterized singularly ...
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The Monge problem with vanishing gradient penalization: Vortices and asymptotic profile
... It is indeed an interesting fact, already observed in [28, Section 1.5] that density results for a class D in the set of transport plans or maps are essentially proven under the same nat[r] ...
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Uniform Asymptotic Solutions of the Cauchy Problem for a Generalized Model Equation of L.S.Pontryagin in the Case of Violation of Conditions of Asymptotic Stability
... For the first time the phenomenon of delayed loss of stability for singularly perturbed systems has been described by MA Shishkova [1] student academic Pontryagin. Then, many authors have investigated the nature of this ...
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The Dirichlet Problem for the Equation in the Exterior of Nonclosed Lipschitz Surfaces
... Dirichlet problem for the equation Δ𝑢 − 𝑘 2 𝑢 = 0 in the exterior of nonclosed Lipschitz surfaces in 𝑅 3 ...Dirichlet problem for the Laplace equation is a particular case of our ...the ...
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Multiscale Solution for the Molodensky Problem on Regular Telluroidal Surfaces
... regular surfaces that arises naturally as a result of scale discretization of the limit and jump relations of potential ...Molodensky problem of determining the geoid from gravity anomalies on a ...
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Bacterial Communities and their Influence on the Formation and Development of Potholes in Sandstone Surfaces of the Semi-Arid Colorado Plateau
... 4°C until analysis. Dissolved oxygen, pH and conductivity measurements were taken on site using a Hatch Sension 156 portable multiparameter meter. Laboratory Abiotic Weathering Control Experiment For the abiotic ...
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Asymptotic Behavior of Eigenvalue and Eigenfunction of a Six Order Boundary Value Problem
... obtain asymptotic formulas for the individual values and functions of these problems with boundary value where the potential q (x) is an arbitrary complex function valued in [a, ...
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The Asymptotic Behavior of Solutions for 3D Globally Modified Bénard Problem with Delay
... Xia Hou , Chaosheng Zhu * School of Mathematics and Statistics, Southwest University, Chongqing, China Abstract In this paper, we mainly study the existence and uniqueness of solutions and the asymptotic behavior ...
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Topological asymptotic formula for the 3D non-stationary Stokes problem and application
... topological asymptotic expansion for a parabolic ...model problem and we derive a sensitivity analysis with respect to the creation of a small perturbation in the fluid flow ...oxygenation problem ...
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Asymptotic behavior for a nonlinear viscoelastic problem with a velocity dependent material density
... We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. This is established under weaker conditions on the ...
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