Smoothness properties of solutions of mixed boundary value problems for elliptic equations in sectionally smooth n-dimensional domains
A. Azzam (1981)
Annales Polonici Mathematici
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Displaying similar documents to “Hölder regularity for solutions of mixed boundary value problems containing boundary terms”
Smoothness properties of solutions of mixed boundary value problems for elliptic equations in sectionally smooth n-dimensional domains
Infinitely many solutions for a mixed boundary value problem
Gabriele Bonanno, Elisabetta Tornatore (2010)
Annales Polonici Mathematici
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The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
An integral equation technique for solving mixed boundary value problems
M. L. Pasha (1977)
Applicationes Mathematicae
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On the mixed partial differential equations in n independent variables
Chaohao Gu (1980)
Journées équations aux dérivées partielles
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A W1,p-Estimate for Solutions to Mixed Boundary Value Problems for Second Order Elliptic Differential Equtions.
Konrad Gröger (1989)
Mathematische Annalen
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Mixed boundary value problems for elliptic equations in the plane. The theory
E. Shamir (1963)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane
Antonio Greco, Giuseppe Viglialoro (2023)
Applications of Mathematics
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This paper deals with a mixed boundary-value problem of Ventcel type in two variables. The peculiarity of the Ventcel problem lies in the fact that one of the boundary conditions involves second order differentiation along the boundary. Under suitable assumptions on the data, we first give the definition of a weak solution, and then we prove that the problem is uniquely solvable. We also consider a particular case arising in real-world applications and discuss the resulting model. ...
Steady Boussinesq system with mixed boundary conditions including friction conditions
Tujin Kim (2022)
Applications of Mathematics
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In this paper we are concerned with the steady Boussinesq system with mixed boundary conditions. The boundary conditions for fluid may include Tresca slip, leak, one-sided leak, velocity, vorticity, pressure and stress conditions together and the conditions for temperature may include Dirichlet, Neumann and Robin conditions together. For the problem involving the static pressure and stress boundary conditions, it is proved that if the data of the problem are small enough, then there...
Divergence boundary conditions for vector Helmholtz equations with divergence constraints
Urve Kangro, Roy Nicolaides (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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The idea of replacing a divergence constraint by a divergence boundary condition is investigated. The connections between the formulations are considered in detail. It is shown that the most common methods of using divergence boundary conditions do not always work properly. Necessary and sufficient conditions for the equivalence of the formulations are given.