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On Wiener's Criterion for an Elliptic Equation with Nonuniform Degeneration
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Rabil A. Amanov
Published/Copyright:
March 10, 2010
Abstract
For some class of nonuniformly degenerated elliptic equations of second order, a necessary and sufficient condition for boundary points to be regular is found. This condition is an analogue of Wiener's criterion for the Laplace equation.
Key words and phrases:: Wiener's criterion; boundary regularity conditions; elliptic equations; nonuniformly degenerated
Received: 2006-04-13
Revised: 2006-11-24
Published Online: 2010-03-10
Published in Print: 2007-December
© Heldermann Verlag
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- On Wiener's Criterion for an Elliptic Equation with Nonuniform Degeneration
- A Modified Quasi-Reversibility Method for a Class of Ill-Posed Cauchy Problems
- Convergence of Walsh–Fourier Series of a Class 𝐵𝑂(𝑝(𝑛) ↑ ∞)
- Rate of Convergence for the Bézier Variant of the MKZD Operators
- On Lower and Semi-Lower Density Operators
- Szegö Asymptotics of Extremal Polynomials on the Segment [–1, +1]: The Case of a Measure with Finite Discrete Part
- Some Combinatorial Properties of Finite Line-Systems in the Euclidean Plane
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- Positive Solutions for Neutral Difference Equations with Continuous Arguments
- Elusive Examples of Non-Metrizable Continua which Admit a Whitney Map
- Rate of Convergence in Recursive Parameter Estimation Procedures
- Oscillation Theorems for Differential Equations Involving Even Order Nonlinear Sturm–Liouville Operator
- On the Absolute Convergence of Fourier Series of Functions of ∧𝐵𝑉(𝑝) and φ ∧𝐵𝑉
- Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems
- Stability of Finite Difference Schemes on Irregular Meshes for Von Foerster-Type 1-D Equations
- Corrigenda to “On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces”
Keywords for this article
Wiener's criterion;
boundary regularity conditions;
elliptic equations;
nonuniformly degenerated
Articles in the same Issue
- On the Oscillation of Second Order Nonlinear Neutral Delay Dynamic Equations
- On Wiener's Criterion for an Elliptic Equation with Nonuniform Degeneration
- A Modified Quasi-Reversibility Method for a Class of Ill-Posed Cauchy Problems
- Convergence of Walsh–Fourier Series of a Class 𝐵𝑂(𝑝(𝑛) ↑ ∞)
- Rate of Convergence for the Bézier Variant of the MKZD Operators
- On Lower and Semi-Lower Density Operators
- Szegö Asymptotics of Extremal Polynomials on the Segment [–1, +1]: The Case of a Measure with Finite Discrete Part
- Some Combinatorial Properties of Finite Line-Systems in the Euclidean Plane
- Vector Measures on Topological Spaces
- Positive Solutions for Neutral Difference Equations with Continuous Arguments
- Elusive Examples of Non-Metrizable Continua which Admit a Whitney Map
- Rate of Convergence in Recursive Parameter Estimation Procedures
- Oscillation Theorems for Differential Equations Involving Even Order Nonlinear Sturm–Liouville Operator
- On the Absolute Convergence of Fourier Series of Functions of ∧𝐵𝑉(𝑝) and φ ∧𝐵𝑉
- Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems
- Stability of Finite Difference Schemes on Irregular Meshes for Von Foerster-Type 1-D Equations
- Corrigenda to “On Non-Compact Operators in Weighted Ideal and Symmetric Function Spaces”
