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Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
Veröffentlicht/Copyright:
11. März 2010
Abstract
We prove an existence result for the Dirichlet problem associated to some degenerate quasilinear elliptic equations in a bounded open set Ω in
in the setting of weighted Sobolev spaces
.
Key words and phrases:: Degenerate quasilinear elliptic equations; weighted Sobolev spaces
Received: 2007-02-14
Revised: 2008-03-26
Published Online: 2010-03-11
Published in Print: 2008-December
© Heldermann Verlag
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Schlagwörter für diesen Artikel
Degenerate quasilinear elliptic equations;
weighted Sobolev spaces
Artikel in diesem Heft
- On Iterative Combination of Modified Bernstein-Type Polynomials
- On Dynamical Three-Dimensional Fluid-Solid Interaction Problem
- Existence and Uniqueness of Weak Solution for a Class of Elliptic Reaction-Diffusion Systems
- Existence of Solutions in Weighted Sobolev Spaces for Some Degenerate Quasilinear Elliptic Equations
- Periodic Solutions for Nonlinear Differential Equation with Functional Delay
- Restriction Theorems for Anisotropically Homogeneous Hypersurfaces of
- Dual Variational Method for a Fourth Order Dirichlet Problem
- On Some Combinatorial Problems Concerning Geometrical Realizations of Finite and Infinite Families of Sets
- Beurling–Borg Type Theorem for Two-Dimensional Linear Differential Systems
- The Maximal Operator in Weighted Variable Exponent Spaces on Metric Spaces
- Sequential Detection of Drift Change for Brownian Motion with Unknown Sign
- Uniqueness for Meromorphic Functions Concerning Differential Polynomials
- Integral Representations and Continuous Projectors in Some Spaces of Analytic and Pluriharmonic Functions
- On One Problem with the Condition at Infinity for Second Order Singular Ordinary Differential Equations
- Rectifiable and Unrectifiable Oscillations for a Generalization of the Riemann–Weber Version of Euler Differential Equation
- Compact Composition Operators on Generalized Hardy Spaces
- CLT for Operator Abel Sums of Random Elements
- On the Dirichlet Problem for a Second Order Elliptic System with Degeneration on the Whole Boundary of a Multidimensional Domain
- A Note on Conjugacy Classes of Finite Groups