Results 41 to 50 of about 11,399,904 (367)

Poisson problems for semilinear Brinkman systems on Lipschitz domains in Rn [PDF]

open access: yes, 2015
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
core   +1 more source

On the asymptotics of a Robin eigenvalue problem [PDF]

open access: yes, 2013
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

On the Dirichlet problem

open access: yesExpositiones Mathematicae, 2012
6 ...
openaire   +3 more sources

The hyperbolic dirichlet problem

open access: yesMathematical and Computer Modelling, 2000
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
openaire   +3 more sources

The Dirichlet problem for orthodiagonal maps [PDF]

open access: yesAdvances in Mathematics, 2020
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
openaire   +3 more sources

The Dirichlet-to-Neumann map for the elliptic sine Gordon [PDF]

open access: yes, 2012
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
core   +1 more source

Ground state solutions of Kirchhoff-type fractional Dirichlet problem with p-Laplacian

open access: yesAdvances in Difference Equations, 2018
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

open access: yesMathematics, 2021
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
doaj   +1 more source

Eigenvalue bounds of mixed Steklov problems

open access: yes, 2018
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
core   +1 more source

Solutions of anisotropic elliptic equations in unbounded domains

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013
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

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