Results 11 to 20 of about 172,877 (277)
Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
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Double Dirichlet series and quantum unique ergodicity of weight 1/2 Eisenstein series [PDF]
The problem of quantum unique ergodicity (QUE) of weight 1/2 Eisenstein series for {\Gamma}_0(4) leads to the study of certain double Dirichlet series involving GL2 automorphic forms and Dirichlet characters.
Bailey +9 more
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On the Dirichlet problem for A-harmonic functions
We study the Dirichlet boundary value problem with continuous boundary data for the A-harmonic equations div[A grad u] = 0 in an arbitrary bounded domain D of the complex plane £ with no boundary component degenerated to a single point.
V.Ya. Gutlyanskiĭ +3 more
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Three spectra problem for Stieltjes string equation and Neumann conditions
Spectral problems are considered which appear in description of small transversal vibrations of Stieltjes strings. It is shown that the eigenvalues of the Neumann-Neumann problem, i.e.
Anastasia Dudko, Vyacheslav Pivovarchik
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The hyperbolic dirichlet problem
The authors show that there are uncountably many rotations, that assure the existence and uniqueness of the solution to the hyperbolic Dirichlet problem for a transitive curve being an ellipse. Moreover, a numerical algorithm for the computation of the solution is presented.
Pavani, R., Talamo, R.
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THE DIRICHLET PROBLEM FOR TRANSVERSELY-ISOTROPIC PANEL
This paper is a part of series of previous published papers which are devoted to obtaining analytically-numerical solutions of boundary value problems of the theory of shells and plates with arbitrary stresses and inhomogeneous boundary conditions of the
Сиявуш Ахмедович Халилов +5 more
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Poisson problems for semilinear Brinkman systems on Lipschitz domains in Rn [PDF]
The purpose of this paper is to combine a layer potential analysis with the Schauder fixed point theorem to show the existence of solutions of the Poisson problem for a semilinear Brinkman system on bounded Lipschitz domains in Rn (n 65 2) with ...
Kohr, Mirela +2 more
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Let S(U) denote the cone of all P-bounded real continuous functions on a P-harmonic space \((X,^*H)\) which are superharmonic on the open subset \(U\subseteq X\). The authors have previously shown [Invent. Math. 29, 83- 110 (1975; Zbl 0308.31011)] that \(S(U)\) is implying that the weak Dirichlet problem is solvable: For any compact subset \(K\subseteq
Hansen, W., Bliedner, J.
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Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian
We consider the Kirchhoff-type p-Laplacian Dirichlet problem containing the left and right fractional derivative operators. By using the Nehari method in critical point theory, we obtain the existence theorem of ground state solutions for such Dirichlet ...
Taiyong Chen, Wenbin Liu
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Solutions of anisotropic elliptic equations in unbounded domains
In the paper the Dirichlet problem for an anisotropic quasilinear elliptic equations of the second order is considered. The upper estimates for the generalized solution of this Dirichlet problem are received, the closeness is proved for the isotropic ...
Larisa Mikhailovna Kozhevnikova +1 more
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