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math.FA2007★ 1 cited
Sobolev homeomorphisms and Poincare inequality
V. Gol'dshtein, A. Ukhlov
We study global regularity properties of Sobolev homeomorphisms on -dimensional Riemannian manifolds under the assumption of -integrability of its first weak derivatives in d…
math.FA2007
Weighted Sobolev spaces and embedding theorems
V. Gol'dshtein, A. Ukhlov
In the present paper we study embedding operators for weighted Sobolev spaces whose weights satisfy the well-known Muckenhoupt A_p-condition. Sufficient conditions for boundedness…