Degree of summability of the generalized derivatives of quasiconformal homeomorphisms

DOI10.1007/BF00968051zbMath0499.30017OpenAlexW2072556571MaRDI QIDQ1171676

V. M. Gol'dshtejn

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968051

zbMATH Keywords

Sobolev spacesdistribution functionelliptic equationMorse functionquasiconformal homeomorphismdegree of integrabilitymetric distortion coefficientquasilinear equation of elliptic type

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Quasiconformal mappings in the complex plane (30C62)

Related Items (11)

Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators ⋮ Estimates for Dirichlet eigenvalues of divergence form elliptic operators in non-Lipschitz domains ⋮ Spectral stability estimates of Dirichlet divergence form elliptic operators ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ On variations of the Neumann eigenvalues of \(p\)-Laplacian generated by measure preserving quasiconformal mappings ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator and Brennan's conjecture ⋮ On the first eigenvalue of the degenerate \(p\)-Laplace operator in non-convex domains ⋮ On conformal spectral gap estimates of the Dirichlet–Laplacian ⋮ Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains

Cites Work

• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
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