On the Lipschitz Continuity of Certain Quasiregular Mappings Between Smooth Jordan Domains

Biography

Papers

Teaching

Prof. Miodrag Mateljević

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Corresponding member of Serbian Academy of Sciences and Arts
Full Professor of Faculty of Mathematics, University of Belgrade
Department of real and complex analysis
Teaching 2012/2013: Complex analysis, Selected chapters of analysis (in Serbian)

e-mail: miodrag@matf.bg.ac.rs

Biography:

• Biography - CV

Selected papers:

• Monography in preparation "Elliptic equations and QC maps- I Distribution, Sobolev spaces and Partial equation", version May 17 2018;PDF;
• Monography in preparation "Geometric function theory 1", version May 16 2018;PDF;
• Full bibliography 1975-2013
• D. Kalaj, M. Marković, M. Mateljević: Charatheodory and Smirnov type theorems for harmonic mappings of the unit disk onto surfaces. Annales Academiae scientiarum Fennicae, Mathematica. ISSN 1239-629X. 38 : 2 (2013) 565-580.
• A. Abaob, M. Arsenović, M. Mateljević, A. Shkheam: Moduli of continuity of harmonic quasiregular mappings on bounded domains. Annales Academiae scientiarum Fennicae, Mathematica. ISSN 1239-629X. 38 : 2 (2013) 839-847.
• D. Kalaj, M. Mateljević: (K, K')-quasiconformal harmonic mappings. Potential Analysis. ISSN 0926-2601. 36 : 1 (2012) 117-135.
• M. Mateljević: Quasiconformality of harmonic mappings between Jordan domains. Filomat. ISSN 0354-5180. 26 : 3 (2012) 479-510.
• D. Kalaj, M. Mateljević: On quasiconformal harmonic surfaces with rectifiable boundary. Complex analysis and operator theory. ISSN 1661-8254. 5 : 3 (2011) 633-646.
• V. Božin, M. Mateljević: Energy of graphs and orthogonal matrices. Approximation and Computation : in honor of Gradimir V. Milovanović / W. Gautschi, G. Mastroianni, Th. M. Rassias, eds. Berlin : Springer, 2011. pp. 87-96. (Optimization and its applications : 42) ISBN 978-1-4419-6594-3
• D. Kalaj, M. Mateljević: On certain nonlinear elliptic PDE and quasiconformal maps between euclidean surfaces. Potential Analysis. ISSN 0926-2601. 34 : 1 (2011) 13-22.
• D. Kalaj, M. Mateljević: On conformal, harmonic mappings and Dirichlet's integral. Filomat. ISSN 0354-5180. 25 : 2 (2011) 91-108.
• D. Kalaj, M. Mateljević: On absolutely conformal mappings. Publicationes Mathematicae. ISSN 0033-3883. 77 : 1-2 (2010) 33-38.
• M. Mateljević, V. Božin, I. Gutman: Energy of a polynomial and the Coulson integral formula. Journal of Mathematical Chemistry. ISSN 0259-9791. 48 : 4 (2010) 1062-1068.
• M. Arsenović, V. Manojlović, M. Mateljević: Lipschitz-type spaces and harmonic mappings in the space. Annales Academiae scientiarum Fennicae, Mathematica. ISSN 1239-629X. 35 : 1 (2010) 379-387.
• D. Kalaj, M. S. Mateljević: Harmonic quasiconformal self-mappings and möbius transformations of the unit ball. Pacific journal of mathematics. ISSN 0030-8730. 247 : 2 (2010) 389-406.
• V. Božin, M. Mateljević: Some counterexamples related to the theory of HQC mappings. Filomat. ISSN 0354-5180. 24 : 4 (2010) 25-34.
• M. Mateljević, V. Božin, M. Knezević: Quasiconformality of harmonic mappings between Jordan domains. Filomat. ISSN 0354-5180. 24 : 3 (2010) 111-124.
• M. Mateljević, I. Anić, S. Taylor: Asymptotic curvature bounds for conformally flat metrics on the plane. Filomat. ISSN 0354-5180. 24 : 2 (2010) 93-100.
• M. Mateljević, M. Vuorinen: On harmonic quasiconformal quasi-isometries. Journal of Inequalities and Applications. ISSN 1029-242X. 2010 : 178732 (2010) 1–19.
• M. Mateljević: Unique extremality of quasiconformal mappings. Journal d'Analyse Mathematique. ISSN 0099-698X. 107 : 1 (2009) 39-63.
• M. Mateljević, I. Gutman: Note on the Coulson and Coulson-Jacobs integral formulas. Match : communications in mathematical and in computer chemistry. ISSN 0340-6253. 59 : 2 (2008) 257-268.
• M. Arsenović, Vesna Kojić, Miodrag Mateljević: On Lipschitz continuity of harmonic quasiregular maps on the unit ball in R-n. Annales Academiae scientiarum Fennicae, Mathematica. ISSN 1239-629X. 33 : 1 (2008) 315-318.
• M. Knežević, M. Mateljević: On the quasi-isometries of harmonic quasiconformal mappings. Journal of Mathematical Analysis and Applications. ISSN 0022-247X. 334 : 1 (2007) 404-413. Online ISSN 1096-0813
• M. Mateljević: Quasiconformal and quasiregular harmonic analogues of Koebe's theorem and applications. Annales Academiae scientiarum Fennicae, Mathematica. ISSN 1239-629X. 32 : 2 (2007) 301-315.
• I. Gutman, M. Mateljević: Note on the Coulson integral formula. Journal of Mathematical Chemistry. ISSN 0259-9791. 39 : 2 (2006) 259-266.
• D. Kalaj, M. Mateljević: Inner estimate and quasiconformal harmonic maps between smooth domains. Journal d'Analyse Mathematique. ISSN 0099-698X. 100 (2006) 117-132.
• I. Anić, M. Mateljević, D. Šarić: Extremal metrics and modulus. Czechoslovak Mathematical Journal. ISSN 0011-4642. 52 : 2 (2002) 225-235.
• I. Anić, V. Marković, M. Mateljević: Uniformly bounded maximal φ-disks, bers space and harmonic maps. Proceedings of the American Mathematical Society. ISSN 0002-9939. 128 : 10 (2000) 2947-2956. Online ISSN 1088-6826
• V. Marković, M. Mateljević: A new version of the main inequality and the uniqueness of harmonic maps. Journal d'Analyse Mathematique. ISSN 0099-698X. 79 (1999) 315-334.

Teaching

• see Serbian version

brysoncloons.blogspot.com

Source: http://poincare.matf.bg.ac.rs/~miodrag/index_e.html

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