Grandi, Diego; Kružík, Martin; Mainini, Edoardo; Stefanelli, Ulisse Equilibrium for multiphase solids with Eulerian interfaces. (English) Zbl 1459.74151 J. Elasticity 142, No. 2, 409-431 (2020). MSC: 74N99 74B20 74G65 74G22 49J45 PDF BibTeX XML Cite \textit{D. Grandi} et al., J. Elasticity 142, No. 2, 409--431 (2020; Zbl 1459.74151) Full Text: DOI arXiv OpenURL
Guo, Chang-Yu; Hencl, Stanislav; Tengvall, Ville Mappings of finite distortion: size of the branch set. (English) Zbl 1461.30055 Adv. Calc. Var. 13, No. 4, 325-360 (2020). Reviewer: Olli Martio (Helsinki) MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{C.-Y. Guo} et al., Adv. Calc. Var. 13, No. 4, 325--360 (2020; Zbl 1461.30055) Full Text: DOI Link OpenURL
Gol’dshtein, Vladimir; Ukhlov, Alexander On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms. (English. Russian original) Zbl 1455.30013 J. Math. Sci., New York 246, No. 1, 18-29 (2020); translation from Ukr. Mat. Visn. 16, No. 3, 329-344 (2019). Reviewer: Scott Zimmerman (Marion) MSC: 30C65 PDF BibTeX XML Cite \textit{V. Gol'dshtein} and \textit{A. Ukhlov}, J. Math. Sci., New York 246, No. 1, 18--29 (2020; Zbl 1455.30013); translation from Ukr. Mat. Visn. 16, No. 3, 329--344 (2019) Full Text: DOI OpenURL
Molchanova, Anastasia; Vodopyanov, Sergey Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity. (English) Zbl 1430.30011 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 17, 25 p. (2020). MSC: 30C65 47B33 46E35 74B20 PDF BibTeX XML Cite \textit{A. Molchanova} and \textit{S. Vodopyanov}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 17, 25 p. (2020; Zbl 1430.30011) Full Text: DOI arXiv OpenURL
Cristea, Mihai A note on the global injectivity of some light Sobolev mappings. (English. French summary) Zbl 07083264 J. Math. Pures Appl. (9) 128, 213-224 (2019). MSC: 30C65 26B10 54C10 PDF BibTeX XML Cite \textit{M. Cristea}, J. Math. Pures Appl. (9) 128, 213--224 (2019; Zbl 07083264) Full Text: DOI OpenURL
Menovshchikov, A. V. The lower semicontinuity of distortion coefficients of the homeomorphisms inducing bounded composition operators of Sobolev-Orlicz spaces. (English. Russian original) Zbl 1403.46032 Sib. Math. J. 59, No. 2, 332-340 (2018); translation from Sib. Mat. Zh. 59, No. 2, 422-432 (2018). MSC: 46E35 30C65 PDF BibTeX XML Cite \textit{A. V. Menovshchikov}, Sib. Math. J. 59, No. 2, 332--340 (2018; Zbl 1403.46032); translation from Sib. Mat. Zh. 59, No. 2, 422--432 (2018) Full Text: DOI OpenURL
Cristea, Mihai A generalization of the univalence on the boundary theorem with applications to Sobolev mappings. (English) Zbl 1378.30009 Complex Anal. Oper. Theory 11, No. 8, 1789-1799 (2017). MSC: 30C65 26B10 54C10 PDF BibTeX XML Cite \textit{M. Cristea}, Complex Anal. Oper. Theory 11, No. 8, 1789--1799 (2017; Zbl 1378.30009) Full Text: DOI OpenURL
Menovshchikov, A. V. Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space. (English. Russian original) Zbl 06798786 Sib. Math. J. 58, No. 4, 649-662 (2017); translation from Sib. Mat. Zh. 58, No. 4, 834-850 (2017). MSC: 47-XX 46-XX PDF BibTeX XML Cite \textit{A. V. Menovshchikov}, Sib. Math. J. 58, No. 4, 649--662 (2017; Zbl 06798786); translation from Sib. Mat. Zh. 58, No. 4, 834--850 (2017) Full Text: DOI OpenURL
Cruz-Uribe, David; Moen, Kabe; Rodney, Scott Matrix \(\mathcal A_p\) weights, degenerate Sobolev spaces, and mappings of finite distortion. (English) Zbl 1357.30015 J. Geom. Anal. 26, No. 4, 2797-2830 (2016). Reviewer: Matti Vuorinen (Turku) MSC: 30C65 46E35 PDF BibTeX XML Cite \textit{D. Cruz-Uribe} et al., J. Geom. Anal. 26, No. 4, 2797--2830 (2016; Zbl 1357.30015) Full Text: DOI arXiv OpenURL
Villamor, Enrique Positive results on discreteness and openness for mappings of finite distortion. (English) Zbl 1359.30039 Complex Var. Elliptic Equ. 61, No. 12, 1677-1688 (2016). Reviewer: Victor V. Goryainov (Moscow) MSC: 30C65 PDF BibTeX XML Cite \textit{E. Villamor}, Complex Var. Elliptic Equ. 61, No. 12, 1677--1688 (2016; Zbl 1359.30039) Full Text: DOI OpenURL
Calogero, Simone; Leonori, Tommaso Ground states of self-gravitating elastic bodies. (English) Zbl 1329.35303 Calc. Var. Partial Differ. Equ. 54, No. 1, 881-899 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35Q74 74G65 74B10 74B20 PDF BibTeX XML Cite \textit{S. Calogero} and \textit{T. Leonori}, Calc. Var. Partial Differ. Equ. 54, No. 1, 881--899 (2015; Zbl 1329.35303) Full Text: DOI arXiv OpenURL
Lorent, Andrew On functions whose symmetric part of gradient agree and a generalization of Reshetnyak’s compactness theorem. (English) Zbl 1291.30137 Calc. Var. Partial Differ. Equ. 48, No. 3-4, 625-665 (2013). MSC: 30C65 26B99 PDF BibTeX XML Cite \textit{A. Lorent}, Calc. Var. Partial Differ. Equ. 48, No. 3--4, 625--665 (2013; Zbl 1291.30137) Full Text: DOI arXiv OpenURL
Hencl, Stanislav; Rajala, Kai Optimal assumptions for discreteness. (English) Zbl 1275.26007 Arch. Ration. Mech. Anal. 207, No. 3, 775-783 (2013). Reviewer: Leonid Kovalev (Syracuse) MSC: 26A16 26B10 30C65 PDF BibTeX XML Cite \textit{S. Hencl} and \textit{K. Rajala}, Arch. Ration. Mech. Anal. 207, No. 3, 775--783 (2013; Zbl 1275.26007) Full Text: DOI OpenURL
Hencl, Stanislav; Rajala, Kai Openness and discreteness for mappings of finite distortion. (English) Zbl 1277.30013 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 4, 429-435 (2012). MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{S. Hencl} and \textit{K. Rajala}, Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 23, No. 4, 429--435 (2012; Zbl 1277.30013) Full Text: DOI OpenURL
Ukhlov, A. Composition operators in weighted Sobolev spaces on Carnot groups. (English) Zbl 1249.46035 Acta Math. Hung. 133, No. 1-2, 103-127 (2011). Reviewer: Hans Triebel (Jena) MSC: 46E35 58J05 PDF BibTeX XML Cite \textit{A. Ukhlov}, Acta Math. Hung. 133, No. 1--2, 103--127 (2011; Zbl 1249.46035) Full Text: DOI OpenURL
Iwaniec, Tadeusz; Onninen, Jani Deformations of finite conformal energy: boundary behavior and limit theorems. (English) Zbl 1246.30040 Trans. Am. Math. Soc. 363, No. 11, 5605-5648 (2011). Reviewer: Dimitrios Betsakos (Thessaloniki) MSC: 30C65 35J15 35J70 PDF BibTeX XML Cite \textit{T. Iwaniec} and \textit{J. Onninen}, Trans. Am. Math. Soc. 363, No. 11, 5605--5648 (2011; Zbl 1246.30040) Full Text: DOI OpenURL
Koskela, Pekka Planar mappings of finite distortion. (English) Zbl 1206.26018 Comput. Methods Funct. Theory 10, No. 2, 663-678 (2010). MSC: 26B10 30C65 46E35 PDF BibTeX XML Cite \textit{P. Koskela}, Comput. Methods Funct. Theory 10, No. 2, 663--678 (2010; Zbl 1206.26018) Full Text: DOI Link OpenURL
Gol’dshtein, V.; Ukhlov, A. About homeomorphisms that induce composition operators on Sobolev spaces. (English) Zbl 1246.30039 Complex Var. Elliptic Equ. 55, No. 8-10, 833-845 (2010). MSC: 30C65 47B33 PDF BibTeX XML Cite \textit{V. Gol'dshtein} and \textit{A. Ukhlov}, Complex Var. Elliptic Equ. 55, No. 8--10, 833--845 (2010; Zbl 1246.30039) Full Text: DOI arXiv OpenURL
Ukhlov, A.; Vodop’yanov, S. K. Mappings with bounded \((P,Q)\)-distortion on Carnot groups. (English) Zbl 1213.30049 Bull. Sci. Math. 134, No. 6, 605-634 (2010). Reviewer: Evgeny Sevost’yanov (Donetsk) MSC: 30C65 35R03 PDF BibTeX XML Cite \textit{A. Ukhlov} and \textit{S. K. Vodop'yanov}, Bull. Sci. Math. 134, No. 6, 605--634 (2010; Zbl 1213.30049) Full Text: DOI arXiv OpenURL
Pankka, Pekka Mappings of bounded mean distortion and cohomology. (English) Zbl 1203.30023 Geom. Funct. Anal. 20, No. 1, 229-242 (2010). Reviewer: Mugur Acu (Sibiu) MSC: 30C65 PDF BibTeX XML Cite \textit{P. Pankka}, Geom. Funct. Anal. 20, No. 1, 229--242 (2010; Zbl 1203.30023) Full Text: DOI OpenURL
Csörnyei, Marianna; Hencl, Stanislav; Malý, Jan Homeomorphisms in the Sobolev space \(W^{1,n-1}\). (English) Zbl 1210.46023 J. Reine Angew. Math. 644, 221-235 (2010). Reviewer: Olli Martio (Helsinki) MSC: 46E35 26B30 PDF BibTeX XML Cite \textit{M. Csörnyei} et al., J. Reine Angew. Math. 644, 221--235 (2010; Zbl 1210.46023) Full Text: DOI OpenURL
Sivaloganathan, Jeyabal; Spector, Scott J. On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials. (English) Zbl 1304.74012 Arch. Ration. Mech. Anal. 196, No. 2, 363-394 (2010). MSC: 74B20 74G65 PDF BibTeX XML Cite \textit{J. Sivaloganathan} and \textit{S. J. Spector}, Arch. Ration. Mech. Anal. 196, No. 2, 363--394 (2010; Zbl 1304.74012) Full Text: DOI Link OpenURL
Kovalev, Leonid V.; Onninen, Jani; Rajala, Kai Invertibility of Sobolev mappings under minimal hypotheses. (English) Zbl 1190.30019 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 517-528 (2010). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30C65 26B10 26B25 PDF BibTeX XML Cite \textit{L. V. Kovalev} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 2, 517--528 (2010; Zbl 1190.30019) Full Text: DOI OpenURL
Ryazanov, V.; Srebro, U.; Yakubov, E. On strong solutions of the Beltrami equations. (English) Zbl 1184.30013 Complex Var. Elliptic Equ. 55, No. 1-3, 219-236 (2010). MSC: 30C65 30C75 PDF BibTeX XML Cite \textit{V. Ryazanov} et al., Complex Var. Elliptic Equ. 55, No. 1--3, 219--236 (2010; Zbl 1184.30013) Full Text: DOI OpenURL
Cristea, Mihai Open discrete mappings having local \(ACL^n\) inverses. (English) Zbl 1184.30009 Complex Var. Elliptic Equ. 55, No. 1-3, 61-90 (2010). MSC: 30C65 PDF BibTeX XML Cite \textit{M. Cristea}, Complex Var. Elliptic Equ. 55, No. 1--3, 61--90 (2010; Zbl 1184.30009) Full Text: DOI OpenURL
Gol’dshtein, Vladimir; Troyanov, Marc Distortion of mappings and \(L_{q,p}\)-cohomology. (English) Zbl 1219.58007 Math. Z. 264, No. 2, 279-293 (2010). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 58J10 58A12 58A10 30C65 PDF BibTeX XML Cite \textit{V. Gol'dshtein} and \textit{M. Troyanov}, Math. Z. 264, No. 2, 279--293 (2010; Zbl 1219.58007) Full Text: DOI arXiv OpenURL
Chaudhuri, Nirmalendu; Karakhanyan, Aram L. On derivation of Euler-Lagrange equations for incompressible energy-minimizers. (English) Zbl 1183.35264 Calc. Var. Partial Differ. Equ. 36, No. 4, 627-645 (2009). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q74 35B65 42B35 49K20 74B20 74G65 PDF BibTeX XML Cite \textit{N. Chaudhuri} and \textit{A. L. Karakhanyan}, Calc. Var. Partial Differ. Equ. 36, No. 4, 627--645 (2009; Zbl 1183.35264) Full Text: DOI arXiv OpenURL
Ryazanov, V.; Sevost’yanov, E. Toward the theory of ring \(Q\)-homeomorphisms. (English) Zbl 1161.30009 Isr. J. Math. 168, 101-118 (2008). Reviewer: Sergei V. Rogosin (Minsk) MSC: 30C65 28A75 46E35 PDF BibTeX XML Cite \textit{V. Ryazanov} and \textit{E. Sevost'yanov}, Isr. J. Math. 168, 101--118 (2008; Zbl 1161.30009) Full Text: DOI OpenURL
Cristea, Mihai Local homeomorphisms having local \(ACL^n\) inverses. (English) Zbl 1151.30015 Complex Var. Elliptic Equ. 53, No. 1, 77-99 (2008). Reviewer: Olli Martio (Helsinki) MSC: 30C65 PDF BibTeX XML Cite \textit{M. Cristea}, Complex Var. Elliptic Equ. 53, No. 1, 77--99 (2008; Zbl 1151.30015) Full Text: DOI OpenURL
Hencl, Stanislav; Koskela, Pekka; Zhong, Xiao Mappings of finite distortion: reverse inequalities for the Jacobian. (English) Zbl 1126.30014 J. Geom. Anal. 17, No. 2, 253-274 (2007). Reviewer: Olli Martio (Helsinki) MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{S. Hencl} et al., J. Geom. Anal. 17, No. 2, 253--274 (2007; Zbl 1126.30014) Full Text: DOI OpenURL
Cristea, Mihai Mappings with finite distortion and arbitrary Jacobian sign. (English) Zbl 1114.30019 Complex Var. Elliptic Equ. 52, No. 1, 43-57 (2007). Reviewer: Erich Hoy (Friedberg) MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{M. Cristea}, Complex Var. Elliptic Equ. 52, No. 1, 43--57 (2007; Zbl 1114.30019) Full Text: DOI OpenURL
Koskela, Pekka; Onninen, Jani Mappings of finite distortion: capacity and modulus inequalities. (English) Zbl 1114.30021 J. Reine Angew. Math. 599, 1-26 (2006). Reviewer: Olli Martio (Helsinki) MSC: 30C65 PDF BibTeX XML Cite \textit{P. Koskela} and \textit{J. Onninen}, J. Reine Angew. Math. 599, 1--26 (2006; Zbl 1114.30021) Full Text: DOI OpenURL
Hencl, Stanislav; Koskela, Pekka Regularity of the inverse of a planar Sobolev homeomorphism. (English) Zbl 1151.30325 Arch. Ration. Mech. Anal. 180, No. 1, 75-95 (2006). MSC: 30C62 PDF BibTeX XML Cite \textit{S. Hencl} and \textit{P. Koskela}, Arch. Ration. Mech. Anal. 180, No. 1, 75--95 (2006; Zbl 1151.30325) Full Text: DOI Link OpenURL
Ryazanov, V.; Srebro, U.; Yakubov, E. On ring solutions of Beltrami equations. (English) Zbl 1087.30019 J. Anal. Math. 96, 117-150 (2005). Reviewer: Matti Vuorinen (Turku) MSC: 30C62 30C85 31A15 PDF BibTeX XML Cite \textit{V. Ryazanov} et al., J. Anal. Math. 96, 117--150 (2005; Zbl 1087.30019) Full Text: DOI OpenURL
Björn, Jana; Onninen, Jani Orlicz capacities and Hausdorff measures on metric spaces. (English) Zbl 1084.31004 Math. Z. 251, No. 1, 131-146 (2005). Reviewer: Ilya S. Molchanov (Bern) MSC: 31C15 28A78 46E30 PDF BibTeX XML Cite \textit{J. Björn} and \textit{J. Onninen}, Math. Z. 251, No. 1, 131--146 (2005; Zbl 1084.31004) Full Text: DOI Link OpenURL
Hencl, Stanislav; Koskela, Pekka Mappings of finite distortion: discreteness and openness for quasi-light mappings. (English) Zbl 1076.30024 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 3, 331-342 (2005). Reviewer: Olli Martio (Helsinki) MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{S. Hencl} and \textit{P. Koskela}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22, No. 3, 331--342 (2005; Zbl 1076.30024) Full Text: DOI Numdam Numdam EuDML OpenURL
Faraco, Daniel; Koskela, Pekka; Zhong, Xiao Mappings of finite distortion: the degree of regularity. (English) Zbl 1075.30012 Adv. Math. 190, No. 2, 300-318 (2005). Reviewer: Martin Chuaqui (Santiago de Chile) MSC: 30C65 26B10 PDF BibTeX XML Cite \textit{D. Faraco} et al., Adv. Math. 190, No. 2, 300--318 (2005; Zbl 1075.30012) Full Text: DOI OpenURL
Iwaniec, Tadeusz; Koskela, Pekka; Martin, Gaven Mappings of BMO-distortion and Beltrami-type operators. (English) Zbl 1028.30015 J. Anal. Math. 88, 337-381 (2002). Reviewer: Mirela Kohr (Cluj-Napoca) MSC: 30C62 42B25 PDF BibTeX XML Cite \textit{T. Iwaniec} et al., J. Anal. Math. 88, 337--381 (2002; Zbl 1028.30015) Full Text: DOI OpenURL
Hajłasz, Piotr; Malý, Jan Approximation in Sobolev spaces of nonlinear expressions involving the gradient. (English) Zbl 1029.46028 Ark. Mat. 40, No. 2, 245-274 (2002). Reviewer: Joan Cerda (Barcelona) MSC: 46E35 PDF BibTeX XML Cite \textit{P. Hajłasz} and \textit{J. Malý}, Ark. Mat. 40, No. 2, 245--274 (2002; Zbl 1029.46028) Full Text: DOI OpenURL
Troyanov, Marc; Vodop’yanov, Sergei Liouville type theorems for mappings with bounded (co)-distortion. (English) Zbl 1019.30022 Ann. Inst. Fourier 52, No. 6, 1753-1784 (2002). Reviewer: Bodo Dittmar (Halle) MSC: 30C65 31B15 26B10 PDF BibTeX XML Cite \textit{M. Troyanov} and \textit{S. Vodop'yanov}, Ann. Inst. Fourier 52, No. 6, 1753--1784 (2002; Zbl 1019.30022) Full Text: DOI Numdam EuDML Link OpenURL
Heinonen, Juha; Sullivan, Dennis On the locally branched Euclidean metric gauge. (English) Zbl 1019.58002 Duke Math. J. 114, No. 1, 15-41 (2002). Reviewer: Vasily A.Chernecky (Odessa) MSC: 58A99 57M12 30C65 PDF BibTeX XML Cite \textit{J. Heinonen} and \textit{D. Sullivan}, Duke Math. J. 114, No. 1, 15--41 (2002; Zbl 1019.58002) Full Text: DOI Euclid OpenURL
Heinonen, Juha; Rickman, Seppo Geometric branched covers between generalized manifolds. (English) Zbl 1017.30023 Duke Math. J. 113, No. 3, 465-529 (2002). Reviewer: Vasily A.Chernecky (Odessa) MSC: 30C65 57P99 57M12 PDF BibTeX XML Cite \textit{J. Heinonen} and \textit{S. Rickman}, Duke Math. J. 113, No. 3, 465--529 (2002; Zbl 1017.30023) Full Text: DOI OpenURL
Iwaniec, Tadeusz; Sbordone, Carlo Quasiharmonic fields. (English) Zbl 1068.30011 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 5, 519-572 (2001). MSC: 30C65 35J60 46N20 47N20 PDF BibTeX XML Cite \textit{T. Iwaniec} and \textit{C. Sbordone}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 18, No. 5, 519--572 (2001; Zbl 1068.30011) Full Text: DOI Numdam EuDML OpenURL
Ryazanov, V.; Srebro, U.; Yakubov, E. BMO-quasiconformal mappings. (English) Zbl 1011.30020 J. Anal. Math. 83, 1-20 (2001). Reviewer: Jochen Becker (Berlin) MSC: 30C62 30C70 PDF BibTeX XML Cite \textit{V. Ryazanov} et al., J. Anal. Math. 83, 1--20 (2001; Zbl 1011.30020) Full Text: DOI OpenURL
Manfredi, Juan J.; Villamor, Enrique Mappings with integrable dilatation in higher dimensions. (English) Zbl 0857.30020 Bull. Am. Math. Soc., New Ser. 32, No. 2, 235-240 (1995). Reviewer: B.Dittmar (Halle) MSC: 30C65 35J70 PDF BibTeX XML Cite \textit{J. J. Manfredi} and \textit{E. Villamor}, Bull. Am. Math. Soc., New Ser. 32, No. 2, 235--240 (1995; Zbl 0857.30020) Full Text: DOI arXiv OpenURL