Results 51 to 60 of about 5,838 (166)
Journal of Inequalities and Applications, 2008 We consider the transient drift-diffusion model with fast diffusion terms. This problem is not only degenerate but also singular. We first present existence result for general nonlinear diffusivities for the Dirichlet-Neumann mixed boundary value problem.
Bin Wu
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Современная математика: Фундаментальные направленияWe consider strongly elliptic differential-difference equations with mixed boundary conditions in a bounded domain. There are homogeneous Dirichlet conditions on a part of the boundary, and boundary conditions of the third kind on the other part of the ...
V. V. Akhlynina
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Bi-Conjugate Gradient Stabilized and Multigrid Approaches Based on Nonstandard Finite Differences for the Solution of Elliptic Partial Differential Equations [PDF]
Alfarama Journal of Basic & Applied SciencesThis study introduces a robust and highly accurate numerical scheme for the solution of two-dimensional elliptic partial differential equations subject to Dirichlet boundary conditions.
N. H. Sweilam +3 more
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Multiple solutions of fourth-order difference equations with different boundary conditions
Boundary Value Problems, 2019 In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we
Yuhua Long, Shaohong Wang, Jiali Chen
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The maximum principle for equations with composite coefficients
Electronic Journal of Differential Equations, 2000 It is well-known that the maximum of the solution of a linear elliptic equation can be estimated in terms of the boundary data provided the coefficient of the gradient term is either integrable to an appropriate power or blows up like a small negative ...
Gary M. Lieberman
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Positive solutions for second-order boundary-value problems with sign changing Green's functions
Electronic Journal of Differential Equations, 2017 In this article we analyze some possibilities of finding positive solutions for second-order boundary-value problems with the Dirichlet and periodic boundary conditions, for which the corresponding Green's functions change sign.
Alberto Cabada +2 more
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Quantum properties of non-Dirichlet boundary conditions in gravity
Physical Review DThe Euclidean path integral for gravity is enriched by the addition of boundaries, which provide useful probes of thermodynamic properties. Common boundary conditions include Dirichlet conditions on the boundary induced metric; microcanonical conditions, which refers to fixing some components of the Brown-York boundary stress tensor; and conformal ...
Patrick Draper +2 more
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Fractional Sobolev space: Study of Kirchhoff-Schrödinger systems with singular nonlinearity
CuboThis study extensively investigates a specific category of Kirchhoff-Schrödinger systems in fractional Sobolev space with Dirichlet boundary conditions. The main focus is on exploring the existence and multiplicity of non-negative solutions.
Elhoussain Arhrrabi, Hamza El-Houari
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Discrete Dynamics in Nature and Society, 2015 We briefly review and investigate the performance of various boundary conditions such as Dirichlet, Neumann, linear, and partial differential equation boundary conditions for the numerical solutions of the Black-Scholes partial differential equation.
Darae Jeong +5 more
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Homogenization of the oscillating Dirichlet boundary condition in general domains
Journal de Mathématiques Pures et Appliquées, 2014 We prove the homogenization of the Dirichlet problem for fully nonlinear elliptic operators with periodic oscillation in the operator and of the boundary condition for a general class of smooth bounded domains. This extends the previous results of Barles and Mironescu in half spaces.
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