Results 11 to 20 of about 6,239,552 (226)
Some remarks on the Dirichlet problem in plane exterior domains
Ricerche di Matematica, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
VINCENZO COSCIA, RUSSO, Remigio
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On the exterior dirichlet problem for linear elliptic equations in the plane
Annali di Matematica Pura ed Applicata, 1979 Let \(\Omega\) be the exterior domain of the unit disk in \({\mathbb{R}}^ 2\), and let \(a_{i,j}(z) (i,j=1,2,i\leq j)\) be bounded, measurable and real valued functions defined in \(\Omega\).
CAMPI, STEFANO
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The exterior Dirichlet problems of Hessian quotient equations
, 2022 In this paper, we study the Dirichlet problem of Hessian quotient equations in exterior domains. By estimating the eigenvalues of the solution, the necessary and sufficient conditions on existence of radial solutions are obtained. Applying the solutions of ODE, the viscosity subsolutions and supersolutions are constructed and then the existence of ...
Dai, Limei, Bao, Jiguang, Wang, Bo
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On the Solution of the Exterior Dirichlet Problem for an Axisymmetric Potential
Ukrainian Mathematical Journal, 2002 For an unbounded domain of the meridian plane with bounded smooth boundary that satisfies certain additional conditions, we develop a method for the reduction of the Dirichlet problem for an axisymmetric potential to Fredholm integral equations.
Плакса, С.А.
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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On the Mixed Dirichlet--Farwig biharmonic problem in exterior domains [PDF]
, 2019 We study the properties of generalized solutions in unbounded domains and the asymptotic behavior of solutions of elliptic boundary value problems at infinity. Moreover, we study the unique solvability of the mixed Dirichlet--Farwig biharmonic problem in
Matevossian, Hovik A.
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Synonym‐based multi‐keyword ranked search with secure k‐NN in 6G network
IET Networks, EarlyView., 2022 Abstract Sixth Generation (6G) integrates the next generation communication systems such as maritime, terrestrial, and aerial to offer robust network and massive device connectivity with ultra‐low latency requirement. The cutting edge technologies such as artificial intelligence, quantum machine learning, and millimetre enable hyper‐connectivity to ...
Deebak Bakkiam David, Fadi Al‐Turjman
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Mixed Biharmonic Dirichlet-Neumann Problem in Exterior Domains [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2020 We study the unique solvability of the mixed Dirichlet-Neumann problem for the biharmonic equation in the exterior of a compact set under the assumption that solutions of this problem has a bounded Dirichlet integral with weight |x|a. Depending on the value of the parameter a, we obtained uniqueness (non-uniqueness) theorems of the problem or present ...
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Questions on solvability of exterior boundary value problems with fractional boundary conditions
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study questions on solvability of some boundary value problems for the Laplace equation with boundary integro-differential operators in the exterior of a unit ball.
Berikbol Torebek, Batirkhan Turmetov
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Existence and nonexistence to exterior Dirichlet problem for Monge–Ampère equation [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We consider the exterior Dirichlet problem for Monge-Ampère equation with prescribed asymptotic behavior. Based on earlier work by Caffarelli and the first named author, we complete the characterization of the existence and nonexistence of solutions in terms of their asymptotic behaviors.
Li, YanYan, Lu, Siyuan
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