Results 21 to 30 of about 26,670 (302)

On the Dirichlet problem for A-harmonic functions

open access: yesДоповiдi Нацiональної академiї наук України, 2023
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
doaj   +1 more source

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.
Pavani, R., Talamo, R.
openaire   +2 more sources

The Dirichlet problem on quadratic surfaces [PDF]

open access: yesMathematics of Computation, 2003
We give a fast, exact algorithm for solving Dirichlet problems with polynomial boundary functions on quadratic surfaces in R
Sheldon Axler, Pamela Gorkin, Karl Voss
openaire   +2 more sources

THE DIRICHLET PROBLEM FOR TRANSVERSELY-ISOTROPIC PANEL

open access: yesАвіаційно-космічна техніка та технологія, 2017
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
doaj   +1 more source

A multiplicity theorem for a variable exponent Dirichlet problem

open access: yes, 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
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

Trial methods for Bernoulli's free boundary problem [PDF]

open access: yes, 2014
Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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

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

Semilinear Poisson problems in Sobolev-Besov spaces on Lipschitz domains

open access: yes, 2002
Extending recent work for the linear Poisson problem for the Laplacian in the framework of Sobolev-Besov spaces on Lipschitz domains by Jerison and Kenig [16], Fabes, Mendez and Mitrea [9], and Mitrea and Taylor [30], here we take up the task of ...
M. Mitrea   +3 more
core   +1 more source

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