Results 111 to 120 of about 28,148 (143)

Trace Expansions for the Zaremba Problem

Communications in Partial Differential Equations, 2002
Abstract We consider a Laplace operator for sections of a vector bundle on a manifold M, with mixed boundary conditions, the so-called Zaremba problem. The boundary consists of three disjoint parts, ∂MD , ∂MN , together with Σ, their common boundary relative to ∂M. Dirichlet conditions are imposed along ∂MD and Neumann conditions along ∂MN .
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Multidimensional Zaremba problem for the $$p(\,\cdot\,)$$-Laplace equation. A Boyarsky–Meyers estimate

Theoretical and Mathematical Physics
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Alkhutov, Yu. A., Chechkin, G. A.
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ON THE ZAREMBA PROBLEM FOR INHOMOGENEOUS p-LAPLACE EQUATION WITH DRIFT

Доклады Российской академии наук. Математика, информатика, процессы управления / Doklady Mathematics
A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz domain is proved for the inhomogeneous p-Laplace equation with drift.
Yu. A. Alkhutov, M. D. Surnachev, A. G. Chechkina   +2 more
exaly   +4 more sources

On Higher Integrability of the Gradient of a Solution to the Zaremba Problem for $$\boldsymbol{p(\cdot)}$$-Laplace Equation in a Plane Domain

Lobachevskii Journal of Mathematics, 2023
Alkhutov, Yu. A., Chechkin, G. A.
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Numerical Study of the Zaremba Problem

Doklady Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The edge algebra structure of the Zaremba problem

Journal of Pseudo-Differential Operators and Applications, 2013
A mixed boundary value problem of Zaremba type, i.e., the problem in which a solution to a second-order elliptic equation \(Au=f\) (\(x\in G\subset \mathbb R^n\)) must satisfy the Dirichlet boundary condition on one part \(Y_{-}\) of the boundary \(\Gamma=\partial G\) and the boundary condition of the Neumann type on another part \(Y_+\) of the ...
Chang, Der-Chen, Habal, Nadia, Schulze, Bert-Wolfgang (Prof. Dr.)   +2 more
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On the Zaremba problem for the $p$-elliptic equation

Sbornik: Mathematics, 2023
Higher integrability for the gradient of the solution to the Zaremba problem in a bounded strictly Lipschitz domain for the inhomogeneous $p$-elliptic equation is proved. Bibliography 33 titles.
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ON HIGHER INTEGRABILITY OF THE GRADIENT OF SOLUTIONS TO THE ZAREMBA PROBLEM FOR <i>p</i>-LAPLACE EQUATION

Доклады Российской академии наук. Математика, информатика, процессы управления, 2023
A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz plane domain is proved for the inhomogeneous p-Laplace equation.
Yu. A. Alkhutov, C. D’Apice, M. A. Kisatov, A. G. Chechkina   +3 more
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The Zaremba problem in two-dimensional Lipschitz graph domains

Transactions of the American Mathematical Society
We study the Zaremba problem, or mixed problem associated to the Laplace operator, in two-dimensional Lipschitz graph domains with mixed Dirichlet and Neumann boundary data in Lebesgue and Lorentz spaces. We obtain an explicit value r r such that the Zaremba problem is solvable in L p L^p for
Carro, María J., Luque, Teresa, Naibo, Virginia   +2 more
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Dirichlet-to-Neumann Operator and Zaremba Problem

2020
Starting with the Zaremba problem for the Laplacian, a boundary value problem with jumping conditions from Dirichlet to Neumann data or also with discontinuous Dirichlet- or Neumann data, a reduction to the boundary in terms of Boutet de Monvel’s calculus gives rise to an interface problem which can be interpreted as a boundary value problem on the ...
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