On mappings generating the embeddings of Sobolev spaces
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Publication:1903856
DOI10.1007/BF00971252zbMath0835.46035OpenAlexW2321145990MaRDI QIDQ1903856
Publication date: 12 December 1995
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00971252
Related Items (56)
Estimates for variation of the first Dirichlet eigenvalue of the Laplace operator ⋮ Functional and analytical properties of a class of mappings of quasiconformal analysis on Carnot groups ⋮ The spectral estimates for the Neumann-Laplace operator in space domains ⋮ On the first eigenvalues of free vibrating membranes in conformal regular domains ⋮ Space quasiconformal mappings and Neumann eigenvalues in fractal type domains ⋮ Spectral estimates of the \(p\)-Laplace Neumann operator in conformal regular domains ⋮ Homeomorphisms that induce monomorphisms of Sobolev spaces ⋮ Conformal spectral stability estimates for the Dirichlet Laplacian ⋮ Extension operators on Sobolev spaces with decreasing integrability ⋮ Conformal weights and Sobolev embeddings ⋮ Sharp bounds for composition with quasiconformal mappings in Sobolev spaces ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators ⋮ Conformal spectral stability estimates for the Neumann Laplacian ⋮ The boundary behavior of $\mathcal Q_{p,q}$-homeomorphisms ⋮ Bi-Sobolev boundary singularities ⋮ Composition operators on Sobolev spaces and \(Q\)-homeomorphisms ⋮ Estimates for Dirichlet eigenvalues of divergence form elliptic operators in non-Lipschitz domains ⋮ Sobolev extensions via reflections ⋮ On isolated singularities of mappings with finite length distortion ⋮ Mappings generating embedding operators in Orlicz-Sobolev spaces ⋮ Sobolev extension on \(L^p\)-quasidisks ⋮ Capacity estimates, Liouville's theorem, and singularity removal for mappings with bounded \((p,q)\)-distortion ⋮ Two-weighted composition operators on Sobolev spaces and quasiconformal analysis ⋮ On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ On the boundary behavior of weak \((p, q)\)-quasiconformal mappings ⋮ On quasiconformal maps and semilinear equations in the plane ⋮ Brennan's conjecture and universal Sobolev inequalities ⋮ Mappings of finite signed distortion: Sobolev spaces and composition of mappings ⋮ On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms ⋮ Spectral stability estimates of Dirichlet divergence form elliptic operators ⋮ Composition operators in weighted Sobolev spaces on Carnot groups ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ A classification of sub-Riemannian manifolds ⋮ Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings ⋮ On Lipschitz approximations in second order Sobolev spaces and the change of variables formula ⋮ Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian ⋮ Composition operators in Orlicz-Sobolev spaces ⋮ To the theory of variational method for Beltrami equations ⋮ On the theory of convergence and compactness for Beltrami equations with constraints of set-theoretic type ⋮ Sobolev homeomorphisms and Brennan's conjecture ⋮ Composition operators on Sobolev spaces and Neumann eigenvalues ⋮ About homeomorphisms that induce composition operators on Sobolev spaces ⋮ Space quasiconformal composition operators with applications to Neumann eigenvalues ⋮ On variations of the Neumann eigenvalues of \(p\)-Laplacian generated by measure preserving quasiconformal mappings ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ 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 ⋮ To the theory of semilinear equations in the plane ⋮ On conformal spectral gap estimates of the Dirichlet–Laplacian ⋮ On the equivalence of two approaches to problems of quasiconformal analysis ⋮ Sobolev spaces and \((P,Q)\)-quasiconformal mappings of Carnot groups ⋮ Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains ⋮ Weak regularity of degenerate elliptic equations
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