Results 41 to 50 of about 11,399,904 (367)
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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On the asymptotics of a Robin eigenvalue problem [PDF]
The considered Robin problem can formally be seen as a small perturbation of a Dirichlet problem. However, due to the sign of the impedance value, its associated eigenvalues converge point-wise to $-\infty$ as the perturbation goes to zero. We prove that
Cakoni, Fioralba+2 more
core +6 more sources
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.
Raffaella Pavani, R. Talamo
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The Dirichlet problem for orthodiagonal maps [PDF]
We prove that the discrete harmonic function corresponding to smooth Dirichlet boundary conditions on orthodiagonal maps, that is, plane graphs having quadrilateral faces with orthogonal diagonals, converges to its continuous counterpart as the mesh size goes to 0. This provides a convergence statement for discrete holomorphic functions, similar to the
Gurel-Gurevich, Ori+2 more
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The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]
We analyse the Dirichlet problem for the elliptic sine Gordon equation in the upper half plane. We express the solution $q(x,y)$ in terms of a Riemann-Hilbert problem whose jump matrix is uniquely defined by a certain function $b(\la)$, $\la\in\R ...
Fokas, A. S., Pelloni, Beatrice
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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
doaj +1 more source
Alternative Dirichlet Priors for Estimating Entropy via a Power Sum Functional
Entropy is a functional of probability and is a measurement of information contained in a system; however, the practical problem of estimating entropy in applied settings remains a challenging and relevant problem. The Dirichlet prior is a popular choice
Tanita Botha+2 more
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Eigenvalue bounds of mixed Steklov problems
We study bounds on the Riesz means of the mixed Steklov-Neumann and Steklov-Dirichlet eigenvalue problem on a bounded domain $\Omega$ in $\mathbb{R}^n$. The Steklov-Neumann eigenvalue problem is also called the sloshing problem.
Hassannezhad, Asma, Laptev, Ari
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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
doaj +1 more source