Results 41 to 50 of about 5,838 (166)

On a Class of Nonuniformly Nonlinear Systems with Dirichlet Boundary Conditions [PDF]

Ukrainian Mathematical Journal, 2015
The authors apply the classical Ambrosetti-Rabinowitz-Mountain Pass Theorem to establish the existence of at least two weak solutions to the following boundary value problem for a nonuniformly elliptic system \[ -\Delta_p u-\operatorname{div}(h_1(|\nabla u|^p)|\nabla u|^{p-2}\nabla u)=F_u(x,u,v)\text{ in }\Omega, \] \[ -\Delta_q u-\operatorname{div ...
Afrouzi, G.A., Naghizadeh, Z., Chung, N.T.   +2 more
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Transformations of Difference Equations II

Advances in Difference Equations, 2010
This is an extension of the work done by Currie and Love (2010) where we studied the effect of applying two Crum-type transformations to a weighted second-order difference equation with non-eigenparameter-dependent boundary conditions at the end points.
Currie Sonja, Love AnneD
doaj  

Simultaneous control for the heat equation with Dirichlet and Neumann boundary conditions

Comptes Rendus. Mathématique
It is well known that both the heat equation with Dirichlet or Neumann boundary conditions are null controlable as soon as the control acts in a non trivial domain (i.e. a set of positive measure).
Burq, Nicolas, Moyano, Ivan
doaj   +1 more source

New Well-Posed boundary conditions for semi-classical Euclidean gravity

Journal of High Energy Physics
We consider four-dimensional Euclidean gravity in a finite cavity. Dirichlet conditions do not yield a well-posed elliptic system, and Anderson has suggested boundary conditions that do.
Xiaoyi Liu, Jorge E. Santos, Toby Wiseman   +2 more
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New Results on a Nonlocal Sturm–Liouville Eigenvalue Problem with Fractional Integrals and Fractional Derivatives

Fractal and Fractional
In this paper, we investigate the eigenvalue properties of a nonlocal Sturm–Liouville equation involving fractional integrals and fractional derivatives under different boundary conditions.
Yunyang Zhang, Shaojie Chen, Jing Li
doaj   +1 more source

Numerical solution of Laplace’s equation in polar coordinates by a Fourier expansion and the finite difference scheme [PDF]

Revista Brasileira de Ensino de Física
The steady-state heat equation for a circular plate with Dirichlet boundary conditions has been solved using a method that combines Fourier expansion and a second-order finite difference scheme.
Jaime J.P. Carreño La Rosa, Alejandro D. Paredes Cabrel   +1 more
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Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions

Axioms, 2018
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
doaj   +1 more source

On a stochastic Burgers equation with Dirichlet boundary conditions

International Journal of Mathematics and Mathematical Sciences, 2003
We consider the one-dimensional Burgers equation perturbed by a white noise term with Dirichlet boundary conditions and a non-Lipschitz coefficient. We obtain existence of a weak solution proving tightness for a sequence of polygonal approximations for ...
Ekaterina T. Kolkovska
doaj   +1 more source

On spectral question of the Cauchy-Riemann operator with homogeneous boundary value conditions

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper we consider the eigenvalue problem for the Cauchy - Riemann operator with homogeneous Dirichlet type boundary conditions. The statement of the problem is justified to the theorem of M. Otelbaev and A.N.
N.S. Imanbaev, B.E. Kanguzhin
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Nonlocal problems with local Dirichlet and Neumann boundary conditions

Journal of Mechanics of Materials and Structures, 2017
We present novel governing operators in the theory of peridynamics (PD) which will allow the extension of PD to applications that require local boundary conditions (BC). Due to its nonlocal nature, the original PD governing operator uses nonlocal BC. The novel operators agree with the original PD operator in the bulk of the domain and simultaneously ...
Aksoylu, Burak, Celiker, Fatih
openaire   +2 more sources