Results 31 to 40 of about 6,239,552 (226)
Радіоелектронні і комп'ютерні системи, 2022 The subject of study is the Green's functions of the first and second boundary value problems for the Laplace equation. The study constructs the Green's functions of the first and second boundary value problems for the Laplace equation in space with a ...
Oleksii Nikolaev +2 more
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Exterior Dirichlet Problem for Translating Solutions of Gauss Curvature Flow in Minkowski Space
Abstract and Applied Analysis, 2014 We prove the existence of solutions to a class of Monge-Ampère equations on exterior domains in ℝn(n≥2) and the solutions are close to a cone. This problem comes from the study of the flow by powers of Gauss curvature in Minkowski space.
Hongjie Ju
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, 2008 International audienceWe formulate and solve the Poisson problem for the exterior derivative operator with Dirichlet boundary condition in Lipschitz domains, of arbitrary topology, for data in Besov and Triebel-Lizorkin ...
Monniaux, Sylvie +5 more
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Continuous dependence for systems governed by fractional Laplacian on data and parameters
Electronic Journal of Differential EquationsWe study a boundary value problem governed by nonlinear equations involving the fractional Laplacian with exterior Dirichlet conditions. We establish sufficient conditions for the existence of solutions as well as their continuous dependence on the data ...
Dorota Bors
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Mathematics, 2022 In this paper, we establish the unique existence and some decay properties of a global solution of a free boundary problem of the incompressible Navier–Stokes equations in Lp in time and Lq in space framework in a uniformly H∞2 domain Ω⊂RN for N≥4.
Kenta Oishi, Yoshihiro Shibata
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Biharmonic Dirichlet–Farwig problem in exterior domains
Sibirskie Elektronnye Matematicheskie Izvestiya, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Configuration‐Encoded Cell Alignment by Light‐Gated Silicon Photovoltaic Microcell Arrays
Advanced Functional Materials, EarlyView.Light‐gated silicon photovoltaic microcells convert pulsed illumination into localized electrical cues. Arranging otherwise similar microcells into four‐lobed, six‐lobed, or circular patterns directs fibroblasts into corresponding local arrangements without wired stimulation.
Yifan Tao +7 more
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A multiplicity theorem for a variable exponent Dirichlet problem
, 2008 We consider a nonlinear Dirichlet problem driven by the p(ċ)-Laplacian. Using variational methods based on the critical point theory, together with suitable truncation techniques and the use of upper-lower solutions and of critical groups, we show that ...
Rocha, EM +3 more
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Advanced Science, EarlyView.Grounded in real biological RNA‐seq data, the framework benchmarks ten differential transcript usage (DTU) methods across short‐read bulk, long‐read bulk, long‐read single‐cell, and long‐read spatial transcriptomics. By integrating reference transcript sets with ranked DTU results, the Transcript Set Enrichment Score (TSES) identifies data‐type ...
Chenxing Zhang +6 more
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Local Search and the Evolution of World Models
Topics in Cognitive Science, EarlyView., 2023 Abstract An open question regarding how people develop their models of the world is how new candidates are generated for consideration out of infinitely many possibilities. We discuss the role that evolutionary mechanisms play in this process. Specifically, we argue that when it comes to developing a global world model, innovation is necessarily ...
Neil R. Bramley +3 more
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