Alexander Ukhlov

Generating author description...

All published works

Action	Title	Year	Authors
+ PDF Chat	Refined geometric characterizations of weak p-quasiconformal mappings	2024	Ruslan Salimov Alexander Ukhlov
+ PDF Chat	Sobolev $(p,q)$-extension operators and Neumann eigenvalues	2024	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	On mappings generating embedding operators in Sobolev classes on metric measure spaces	2024	Alexander Menovschikov Alexander Ukhlov
+ PDF Chat	On (p, q)-eigenvalues of the weighted p-Laplace operator in outward Hölder cuspidal domains	2024	Prashanta Garain Valerii Pchelintsev Alexander Ukhlov
+	On differentiability of Sobolev functions with respect to the Sobolev norm	2024	Vladimir Gol’dshtein Paz Hashash Alexander Ukhlov
+ PDF Chat	On the Neumann (p, q)-eigenvalue problem in Hölder singular domains	2024	Prashanta Garain Valerii Pchelintsev Alexander Ukhlov
+	COMPOSITION OPERATORS ON SOBOLEV SPACES AND	2024	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+	On geometric characterizations of mappings generating composition operators on Sobolev spaces	2024	Alexander Ukhlov
+ PDF Chat	Neumann eigenvalues of elliptic operators in Sobolev extension domains	2024	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Spectral Stability of the Dirichlet–Laplacian in Two-Connected Domains	2024	Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	On the Equicontinuity of Generalized Quasiconformal Mappings by Prime Ends	2024	Nataliya Ilkevych Evgeny Sevost’yanov Alexander Ukhlov
+ PDF Chat	On the weighted non-linear Steklov eigenvalue problem in outward cuspidal domains	2024	Prashanta Garain Vladimir Gol’dshtein Alexander Ukhlov
+	On geometric characterizations of mappings generating composition operators on Sobolev spaces	2024	Alexander Ukhlov
+ PDF Chat	Refined geometric characterizations of weak $p$-quasiconformal mappings	2024	Ruslan Salimov Alexander Ukhlov
+	On the theory of generalized quasiconformal mappings	2024	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+	Capacity of rings and mappings generate embeddings of Sobolev spaces	2023	Alexander Menovschikov Alexander Ukhlov
+	Mappings Generating Embedding Operators in Orlicz-Sobolev Spaces	2023	A. V. Menovshchikov Alexander Ukhlov
+	Composition Operators on Sobolev Spaces and Q-Homeomorphisms	2023	Alexander Menovschikov Alexander Ukhlov
+ PDF Chat	Mixed Local and Nonlocal Dirichlet (p, q)-Eigenvalue Problem	2023	Prashanta Garain Alexander Ukhlov
+ PDF Chat	On the boundary behavior of weak (p; q)-quasiconformal mappings	2023	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+ PDF Chat	On the boundary behavior of weak (p,q)-quasiconformal mappings	2023	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+ PDF Chat	Space quasiconformal composition operators with applications to Neumann eigenvalues	2023	Vladimir Gol’dshtein Ritva Hurri-Syrjänen Valerii Pchelintsev Alexander Ukhlov
+	On the Neumann $(p,q)$-eigenvalue problem in Hölder singular domains	2023	Prashanta Garain Valerii Pchelintsev Alexander Ukhlov
+	Capacity inequalities and Lipschitz continuity of mappings	2023	Ruslan Salimov Evgeny Sevost’yanov Alexander Ukhlov
+	Mixed local and nonlocal Dirichlet $(p,q)$-eigenvalue problem	2023	Prashanta Garain Alexander Ukhlov
+	On the theory of generalized quasiconformal mappings	2023	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+	On $(p,q)$-eigenvalues of the weighted $p$-Laplace operator in outward Hölder cuspidal domains	2023	Prashanta Garain Valerii Pchelintsev Alexander Ukhlov
+	On geometric characterizations of mappings generate composition operators on Sobolev spaces	2023	Alexander Ukhlov
+ PDF Chat	Estimates for Dirichlet Eigenvalues of Divergence Form Elliptic Operators in Non-Lipschitz Domains	2022	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	The volume of the boundary of a Sobolev (p,q)-extension domain	2022	Pekka Koskela Alexander Ukhlov Zheng Zhu
+ PDF Chat	Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems	2022	Prashanta Garain Alexander Ukhlov
+	Singular subelliptic equations and Sobolev inequalities on Carnot groups	2022	Prashanta Garain Alexander Ukhlov
+	On differentiability of Sobolev functions with respect to the Sobolev norm	2022	Vladimir Gol’dshtein Paz Hashash Alexander Ukhlov
+	Capacity of rings and mappings generate embeddings of Sobolev spaces	2022	Alexander Menovschikov Alexander Ukhlov
+	Geometric theory of composition operators on Sobolev spaces	2022	Vladimir Gol’dshtein Alexander Ukhlov
+	On the boundary behavior of weak $(p,q)$-quasiconformal mappings	2022	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+	On regularity of weighted Sobolev homeomorphisms	2022	Valerii Pchelintsev Alexander Ukhlov
+	Singular subelliptic equations and Sobolev inequalities on nilpotent Lie groups.	2021	Prashanta Garain Alexander Ukhlov
+	Composition operators on Sobolev spaces, capacity and weighted Sobolev inequalities.	2021	Alexander Menovschikov Alexander Ukhlov
+	On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups	2021	Prashanta Garain Alexander Ukhlov
+ PDF Chat	Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings	2021	Alexander Menovschikov Alexander Ukhlov
+ PDF Chat	On Lipschitz approximations in second order Sobolev spaces and the change of variables formula	2021	Paz Hashash Alexander Ukhlov
+ PDF Chat	Composition operators on Hardy-Sobolev spaces and BMO-quasiconformal mappings	2021	Alexander Menovschikov Alexander Ukhlov
+ PDF Chat	Quasiconformal mappings and Neumann eigenvalues of divergent elliptic operators	2021	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	On Lipschitz approximations in second order Sobolev spaces and the change of variables formula	2021	Paz Hashash Alexander Ukhlov
+	Composition operators on Sobolev spaces and weighted moduli inequalities	2021	Vladimir Gol’dshtein Evgeny Sevost’yanov Alexander Ukhlov
+	Principal frequencies of free non-homogeneous membranes and Sobolev extension operators	2021	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Singular subelliptic equations and Sobolev inequalities on nilpotent Lie groups	2021	Prashanta Garain Alexander Ukhlov
+	Composition operators on Sobolev spaces, $Q$-mappings and weighted Sobolev inequalities	2021	Alexander Menovschikov Alexander Ukhlov
+	On $(p,q)$-eigenvalues of subelliptic operators on nilpotent Lie groups	2021	Prashanta Garain Alexander Ukhlov
+	Mixed local and nonlocal Sobolev inequalities with extremal and associated quasilinear singular elliptic problems	2021	Prashanta Garain Alexander Ukhlov
+	Composition operators on Hardy-Sobolev spaces and $BMO$-quasiconformal mappings	2021	Alexander Menovschikov Alexander Ukhlov
+	On Lipschitz approximations in second order Sobolev spaces and the change of variables formula	2021	Paz Hashash Alexander Ukhlov
+ PDF Chat	Space quasiconformal composition operators with applications to Neumann eigenvalues	2020	Vladimir Gol’dshtein Ritva Hurri-Syrjänen Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	Spectral stability estimates of Dirichlet divergence form elliptic operators	2020	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	Sobolev Mappings and Moduli Inequalities on Carnot Groups	2020	Evgeny Sevost’yanov Alexander Ukhlov
+ PDF Chat	Sobolev mappings and moduli inequalities on Carnot groups	2020	Evgeny Sevost’yanov Alexander Ukhlov
+	On the functional properties of weak (p, q)-quasiconformal homeomorphisms	2020	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Sobolev extension operators and Neumann eigenvalues	2020	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	On conformal spectral gap estimates of the Dirichlet–Laplacian	2020	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Spectral Stability Estimates of Neumann Divergence Form Elliptic Operators	2020	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Estimates of Dirichlet eigenvalues of divergent elliptic operators in non-Lipschitz domains	2020	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Space quasiconformal composition operators with applications to Neumann eigenvalues	2020	Vladimir Gol’dshtein Ritva Hurri-Syrjänen Valerii Pchelintsev Alexander Ukhlov
+	Sobolev mappings and moduli inequalities on Carnot groups	2020	Evgeny Sevost’yanov Alexander Ukhlov
+	The volume of the boundary of a Sobolev $(p,q)$-extension domain	2020	Pekka Koskela Alexander Ukhlov Zheng Zhu
+	On the functional properties of weak (p,q)-quasiconformal homeomorphisms	2019	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators	2019	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Energy variations and the non-linear elasticity	2019	Vladimir Gol’dshtein Alexander Ukhlov
+	Composition operators on Sobolev spaces, capacity estimates and Ball's classes	2019	Vladimir Gol’dshtein Alexander Ukhlov
+	Composition operators on Sobolev spaces and Eigenvalues of Divergent Elliptic Operators	2019	Vladimir Gol’dshtein Valeryi Pchelintsev Alexander Ukhlov
+	Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators	2019	Vladimir Gol’dshtein Valeryi Pchelintsev Alexander Ukhlov
+ PDF Chat	Spectral properties of the Neumann-Laplace operator in quasiconformal regular domains	2019	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Extension operators on Sobolev spaces with decreasing integrability	2019	Alexander Ukhlov
+	Composition operators on Sobolev spaces and Ball's classes	2019	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral Stability Estimates of Dirichlet Divergence Form Elliptic Operators	2019	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Quasiconformal Mappings and Neumann Eigenvalues of Divergent Elliptic Operators	2019	Vladimir Gol’dshtein Valeryi Pchelintsev Alexander Ukhlov
+ PDF Chat	Composition Operators on Sobolev Spaces and Neumann Eigenvalues	2018	Vladimir Gol’dshtein Alexander Ukhlov
+	On the First Eigenvalue of the Degenerate $$\varvec{p}$$ p -Laplace Operator in Non-convex Domains	2018	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	Space quasiconformal mappings and Neumann eigenvalues in fractal type domains	2018	Vladimir Gol’dshtein Ritva Hurri-Syrjänen Alexander Ukhlov
+	Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian	2018	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Composition Operators on Sobolev Spaces and Neumann Eigenvalues	2018	Vladimir Gol’dshtein Alexander Ukhlov
+	On Conformal Spectral Gap Estimates of the Dirichlet-Laplacian	2018	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+ PDF Chat	The spectral estimates for the Neumann–Laplace operator in space domains	2017	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Spectral estimates of the p-Laplace Neumann operator and Brennan’s conjecture	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Weak regularity of degenerate elliptic equations	2017	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral Estimates of the $p$-Laplace Neumann operator and Brennan's Conjecture	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Spectral Properties of the Neumann-Laplace operator in Quasiconformal Regular Domains	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	On the First Eigenvalue of the Degenerate $p$-Laplace Operator in Non-Convex Domains	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Space Quasiconformal Mappings and Neumann Eigenvalues in Fractal Domains	2017	Vladimir Gol’dshtein Ritva Hurri-Syrjänen Alexander Ukhlov
+	Sobolev Extension Operators and Neumann Eigenvalues	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Spectral Estimates of the $p$-Laplace Neumann operator and Brennan's Conjecture	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian	2017	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov
+	The spectral estimates for the Neumann-Laplace operator in space domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	The spectral problem for the Neumann-Laplace operator and $p$-quasiconformal mappings	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral estimates of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>p</mml:mi></mml:math>-Laplace Neumann operator in conformal regular domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Conformal spectral stability estimates for the Neumann Laplacian	2016	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	On the First Eigenvalues of Free Vibrating Membranes in Conformal Regular Domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral estimates of the $p$-Laplace Neumann operator in conformal regular domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	Conformal Spectral Stability Estimates for the Neumann Laplacian	2016	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov
+	Traces of functions of $L^1_2$ Dirichlet spaces on the Carathéodory boundary	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	Spectral estimates of the $p$-Laplace Neumann operator in conformal regular domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+	The spectral estimates for the Neumann-Laplace operator in space domains	2016	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Conformal spectral stability estimates for the Dirichlet Laplacian	2015	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov
+	Conformal spectral stability for the Dirichlet-Laplace operator	2014	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov
+	Boundary Values of Functions of Dirichlet Spaces $L^1_2$ on Capacitary Boundaries	2014	Vladimir Gol’dshtein Alexander Ukhlov
+	Traces of Functions of Dirichlet Spaces on Capacitary Boundaries	2014	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Sobolev Homeomorphisms and Brennan’s Conjecture	2014	Vladimir Gol’dshtein Alexander Ukhlov
+	Conformal spectral stability for the Dirichlet-Laplace operator	2014	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov
+	Boundary Values of Functions of Dirichlet Spaces $L^1_2$ on Capacitary Boundaries	2014	Vladimir Gol’dshtein Alexander Ukhlov
+	Sobolev homeomorphisms and Brennan's conjecture	2013	Vladimir Gol’dshtein Alexander Ukhlov
+	Conformal Weights and Sobolev Embeddings	2013	Vladimir Gol’dshtein Alexander Ukhlov
+	Brennan's Conjecture and universal Sobolev inequalities	2013	Vladimir Gol’dshtein Alexander Ukhlov
+	Universal conformal weights on Sobolev spaces	2013	Vladimir Gol’dshtein Alexander Ukhlov
+	Sobolev homeomorphisms and Brennan's conjecture	2013	Vladimir Gol’dshtein Alexander Ukhlov
+	Brennan's conjecture for composition operators on Sobolev spaces	2012	Vladimir Gol’dshtein Alexander Ukhlov
+	Brennan's conjecture for composition operators on Sobolev spaces	2012	Vladimir Gol’dshtein Alexander Ukhlov
+	Embeddings of weighted Sobolev spaces and degenerate Dirichlet problems involving the weighted<i>p</i>-Laplacian	2011	Vladimir Gol’dshtein V. V. Motreanu Alexander Ukhlov
+	Composition operators in weighted Sobolev spaces on Carnot groups	2011	Alexander Ukhlov
+	About homeomorphisms that induce composition operators on Sobolev spaces	2010	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Sobolev Homeomorphisms and Composition Operators	2009	Vladimir Gol’dshtein Alexander Ukhlov
+ PDF Chat	Mappings with bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>P</mml:mi><mml:mo>,</mml:mo><mml:mi>Q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-distortion on Carnot groups	2009	Alexander Ukhlov S. K. Vodopyanov
+ PDF Chat	Weighted Sobolev spaces and embedding theorems	2009	Vladimir Gol’dshtein Alexander Ukhlov
+	Sobolev Homeomorphisms and Composition Operators	2009	Vladimir Gol’dshtein Alexander Ukhlov
+	Mappings associated with weighted Sobolev spaces	2008	Alexander Ukhlov S. K. Vodopyanov
+	Sobolev spaces and mappings with bounded (P,Q)-distortion on Carnot groups	2007	Alexander Ukhlov S. K. Vodopyanov
+	Sobolev homeomorphisms and Poincare inequality	2007	Vladimir Gol’dshtein Alexander Ukhlov
+	Weighted Sobolev spaces and embedding theorems	2007	Vladimir Gol’dshtein Alexander Ukhlov
+	Differential and Geometric Properties of Sobolev Mappings	2004	Alexander Ukhlov
+	Sobolev spaces and (P,Q)-quasiconformal mappings of carnot groups	1998	S. K. Vodopyanov Alexander Ukhlov
+	Approximately differentiable transformations and change of variables on nilpotent groups	1996	S. K. Vodopyanov Alexander Ukhlov
+	On mappings generating the embeddings of Sobolev spaces	1992	Alexander Ukhlov

Common Coauthors

Coauthor	Papers Together
Vladimir Gol’dshtein	83
Valerii Pchelintsev	32
Prashanta Garain	14
Evgeny Sevost’yanov	12
Alexander Menovschikov	9
Ritva Hurri-Syrjänen	5
S. K. Vodopyanov	5
Paz Hashash	5
В. И. Буренков	5
Ruslan Salimov	3
Valeryi Pchelintsev	3
Pekka Koskela	2
Zheng Zhu	1
Nataliya Ilkevych	1
Zheng Zhu	1
V. V. Motreanu	1
A. V. Menovshchikov	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Applications of change of variables operators for exact embedding theorems	1994	Vladimir Gol’dshtein L. G. Gurov	55
+ PDF Chat	Weighted Sobolev spaces and embedding theorems	2009	Vladimir Gol’dshtein Alexander Ukhlov	54
+	Sobolev Spaces: with Applications to Elliptic Partial Differential Equations	2011	Vladimir Maz’ya	45
+ PDF Chat	On the First Eigenvalues of Free Vibrating Membranes in Conformal Regular Domains	2016	Vladimir Gol’dshtein Alexander Ukhlov	35
+	Homeomorphisms that induce monomorphisms of Sobolev spaces	1995	Vladimir Gol’dshtein L. G. Gurov А. А. Романов	33
+	Sobolev spaces and (P,Q)-quasiconformal mappings of carnot groups	1998	S. K. Vodopyanov Alexander Ukhlov	32
+	ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES	1979	S. K. Vodopyanov V. M. Gol′dshteĭn Yu. G. Reshetnyak	29
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	28
+ PDF Chat	The spectral estimates for the Neumann–Laplace operator in space domains	2017	Vladimir Gol’dshtein Alexander Ukhlov	27
+	On mappings generating the embeddings of Sobolev spaces	1992	Alexander Ukhlov	27
+	Area distortion of quasiconformal mappings	1994	Kari Astala	23
+	An optimal Poincaré inequality for convex domains	1960	L. E. Payne Hans F. Weinberger	21
+	Lattice isomorphisms of the spaces W n 1 and quasiconformal mappings	1975	S. K. Vodopyanov V. M. Gol′dshteĭn	21
+	Quasiconformal Mappings and Sobolev Spaces	1990	V. M. Gol′dshteĭn Yu. G. Reshetnyak	20
+ PDF Chat	Change of variables formula under minimal assumptions	1993	Piotr Hajłasz	20
+	About homeomorphisms that induce composition operators on Sobolev spaces	2010	Vladimir Gol’dshtein Alexander Ukhlov	19
+ PDF Chat	Sobolev Homeomorphisms and Brennan’s Conjecture	2014	Vladimir Gol’dshtein Alexander Ukhlov	18
+	Geometric Measure Theory	1988	Herbert Fédérer	18
+	Conformal Weights and Sobolev Embeddings	2013	Vladimir Gol’dshtein Alexander Ukhlov	17
+	On the First Eigenvalue of the Degenerate $$\varvec{p}$$ p -Laplace Operator in Non-convex Domains	2018	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov	17
+	NON-LINEAR POTENTIAL THEORY	1972	Vladimir Maz’ya V. P. Khavin	16
+	Brennan's conjecture for composition operators on Sobolev spaces	2012	Vladimir Gol’dshtein Alexander Ukhlov	16
+	Best constants in Poincaré inequalities for convex domains	2011	Luca Esposito Carlo Nitsch Cristina Trombetti	16
+ PDF Chat	Mappings with bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mo stretchy="false">(</mml:mo><mml:mi>P</mml:mi><mml:mo>,</mml:mo><mml:mi>Q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-distortion on Carnot groups	2009	Alexander Ukhlov S. K. Vodopyanov	15
+	Integral estimates of conformal derivatives and spectral properties of the Neumann-Laplacian	2018	Vladimir Gol’dshtein Valerii Pchelintsev Alexander Ukhlov	15
+	Geometric Measure Theory	1996	Herbert Fédérer	15
+	Conformal spectral stability for the Dirichlet-Laplace operator	2014	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov	15
+ PDF Chat	Conformal spectral stability estimates for the Dirichlet Laplacian	2015	В. И. Буренков Vladimir Gol’dshtein Alexander Ukhlov	15
+	Quasiconformal mappings and global integrability of the derivative	1991	Kari Astala Pekka Koskela	15
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors	14
+ PDF Chat	Optimal lower bounds for eigenvalues of linear and nonlinear Neumann problems	2015	Barbara Brandolini Francesco Chiacchio Cristina Trombetti	14
+	Brennan's Conjecture and universal Sobolev inequalities	2013	Vladimir Gol’dshtein Alexander Ukhlov	14
+	Moduli in Modern Mapping Theory	2008	Олли Мартио Vladimir Ryazanov Uri Srebro Eduard Yakubov	14
+	Lipschitz Mappings and the p-capacity of Rings in n-space	1971	F. W. Gehring	13
+ PDF Chat	Quasicircles modulo bilipschitz maps	2001	Steffen Rohde	12
+ PDF Chat	Lectures on n-Dimensional Quasiconformal Mappings	1971	Jussi Väısälä	12
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	11
+	Extremals for Eigenvalues of Laplacians under Conformal Mapping	1998	Richard S. Laugesen Carlo Morpurgo	11
+	Mappings associated with weighted Sobolev spaces	2008	Alexander Ukhlov S. K. Vodopyanov	11
+	The Integrability of the Derivative in Conformal Mapping	1978	James E. Brennan	11
+	Metriques de Carnot-Caratheodory et Quasiisometries des Espaces Symetriques de rang un	1989	Pierre Pansu	10
+	Homeomorphisms in the Sobolev space W 1,n–1	2010	Marianna Csörnyei Stanislav Hencl Jan Malý	10
+ PDF Chat	A remark on optimal weighted Poincaré inequalities for convex domains	2012	Vincenzo Ferone Carlo Nitsch Cristina Trombetti	10
+	Quasihyperbolic boundary conditions and Poincaré domains	2002	Pekka Koskela Jani Onninen Jeremy T. Tyson	10
+	Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-48)	2008	Kari Astala Tadeusz Iwaniec Gaven Martin	10
+	Hardy spaces on homogeneous groups	1982	Gerald B. Folland Elias M. Stein	9
+ PDF Chat	Sobolev mappings with integrable dilatations	1993	Juha Heinonen Pekka Koskela	9
+	On mean quasiconformal mappings	1996	Vladimir Ryazanov	9
+	On some isoperimetric inequalities involving eigenvalues of symmetric free membranes	2014	Cristian Enache G. A. Philippin	9
+	Infinitesimal Geometry of Quasiconformal and Bi-Lipschitz Mappings in the Plane	2013	Bogdan Bojarski Vladimir Gutlyanskiǐ Олли Мартио Vladimir Ryazanov	9