Conformal Weights and Sobolev Embeddings Academic Article uri icon

abstract

  • We study embeddings of the Sobolev space [FORMULA] into weighted Lebesgue spaces L q (Ω, h) with the so-called universal conformal weight h defined as the Jacobian of a conformal homeomorphism φ from Ω onto the unit disk in the complex plane. Applications to elliptic boundary value problems are discussed. Bibliography: 17 titles.

publication date

  • January 1, 2013