Differential and Integral Equations

Some remarks on classical problems and fine properties of Sobolev spaces

E. N. Dancer

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Abstract

We show how the more delicate properties of Sobolev spaces naturally arise in problems involving linear and nonlinear elliptic equations on smooth domains. We also show they arise in the theory of domain variation.

Article information

Source
Differential Integral Equations, Volume 9, Number 3 (1996), 437-446.

Dates
First available in Project Euclid: 7 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1367969964

Mathematical Reviews number (MathSciNet)
MR1371700

Zentralblatt MATH identifier
0853.35011

Subjects
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B20: Perturbations 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems

Citation

Dancer, E. N. Some remarks on classical problems and fine properties of Sobolev spaces. Differential Integral Equations 9 (1996), no. 3, 437--446. https://projecteuclid.org/euclid.die/1367969964


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