Differential and Integral Equations
- Differential Integral Equations
- Volume 9, Number 3 (1996), 437-446.
Some remarks on classical problems and fine properties of Sobolev spaces
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.
Differential Integral Equations, Volume 9, Number 3 (1996), 437-446.
First available in Project Euclid: 7 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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
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