publications

My publications, generated automatically by Jekyll Scholar from BibTeX files.

  1. Journal articles
  2. Proceedings papers and book chapters
  3. Conference proceedings
  4. Textbooks etc. (in Polish)
Journal articles

2022

  1. Regularity for solutions of H-systems and n-harmonic maps with n/2 square integrable derivatives Miśkiewicz, Michał, Petraszczuk, Bogdan, and Strzelecki, Paweł arXiv (preprint) , 21pp, 2022 [PDF]

2019

  1. Bogdan Bojarski (1931–2018) Strzelecki, Paweł Wiadomości Matematyczne 55, 231–251, 2019 [PDF]

2018

  1. Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies Kolasiński, Sławomir, Strzelecki, Paweł, and von der Mosel, Heiko Comm. Anal. Geom. 26, 1251–1316, 2018 [arXiv] [HTML] [PDF]

2017

  1. The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data Mazowiecka, Katarzyna, and Strzelecki, Paweł Adv. Calc. Var. 10, 303–314, 2017 [HTML] [PDF]
  2. Invitation to H-systems in higher dimensions: known results, new facts, and related open problems Schikorra, Armin, and Strzelecki, Paweł EMS Surv. Math. Sci. 4, 21–42, 2017 [arXiv] [HTML] [PDF]

2016

  1. A conditional regularity result for p-harmonic flows Kazaniecki, Krystian, Łasica, Michał, Mazowiecka, Katarzyna Ewa, and Strzelecki, Paweł NoDEA Nonlinear Differential Equations Appl. 23, Art. 9, 13, 2016 [HTML] [PDF]

2013

  1. Menger curvature as a knot energy Strzelecki, Paweł, and von der Mosel, Heiko Phys. Rep. 530, 257–290, 2013 [Abs] [HTML] [PDF]
  2. On some knot energies involving Menger curvature Strzelecki, Paweł, Szumańska, Marta, and von der Mosel, Heiko Topology Appl. 160, 1507–1529, 2013 [HTML] [PDF]
  3. Tangent-point repulsive potentials for a class of non-smooth m-dimensional sets in Rn. Part I: Smoothing and self-avoidance effects Strzelecki, Paweł, and von der Mosel, Heiko J. Geom. Anal. 23, 1085–1139, 2013 [HTML] [PDF]
  4. Characterizing W2,p submanifolds by p-integrability of global curvatures Kolasiński, Sławomir, Strzelecki, Paweł, and von der Mosel, Heiko Geom. Funct. Anal. 23, 937–984, 2013 [HTML] [PDF]
  5. Weak compactness of solutions for fourth order elliptic systems with critical growth Goldstein, Paweł, Strzelecki, Paweł, and Zatorska-Goldstein, Anna Studia Math. 214, 137–156, 2013 [HTML] [PDF]

2012

  1. Tangent-point self-avoidance energies for curves Strzelecki, Paweł, and von der Mosel, Heiko J. Knot Theory Ramifications 21, 1250044, 28, 2012 [HTML] [PDF]

2011

  1. Integral Menger curvature for surfaces Strzelecki, Paweł, and von der Mosel, Heiko Adv. Math. 226, 2233–2304, 2011 [HTML] [PDF]

2010

  1. Regularizing and self-avoidance effects of integral Menger curvature Strzelecki, Pawel, Szumańska, Marta, and von der Mosel, Heiko Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 9, 145–187, 2010 [PDF]

2009

  1. On polyharmonic maps into spheres in the critical dimension Goldstein, Paweł, Strzelecki, Paweł, and Zatorska-Goldstein, Anna Ann. Inst. H. Poincaré Anal. Non Linéaire 26, 1387–1405, 2009 [HTML] [PDF]
  2. A geometric curvature double integral of Menger type for space curves Strzelecki, Paweł, Szumańska, Marta, and von der Mosel, Heiko Ann. Acad. Sci. Fenn. Math. 34, 195–214, 2009 [HTML]

2008

  1. A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two Hajłasz, Piotr, Strzelecki, Paweł, and Zhong, Xiao Manuscripta Math. 127, 121–135, 2008 [Abs] [HTML] [PDF]
  2. On a nonlinear fourth order elliptic system with critical growth in first order derivatives Strzelecki, Paweł, and Zatorska-Goldstein, Anna Adv. Calc. Var. 1, 205–222, 2008 [HTML] [PDF]

2007

  1. On rectifiable curves with L^p-bounds on global curvature: self-avoidance, regularity, and minimizing knots Strzelecki, Paweł, and von der Mosel, Heiko Math. Z. 257, 107–130, 2007 [HTML] [PDF]

2006

  1. Gagliardo-Nirenberg inequalities with a BMO term Strzelecki, P. Bull. London Math. Soc. 38, 294–300, 2006 [HTML] [PDF]
  2. Global curvature for surfaces and area minimization under a thickness constraint Strzelecki, Paweł, and von der Mosel, Heiko Calc. Var. Partial Differential Equations 25, 431–467, 2006 [Abs] [HTML] [PDF]
  3. The Poincaré conjecture? Strzelecki, Paweł Amer. Math. Monthly 113, 75–78, 2006 [HTML]

2005

  1. Sard’s theorem for mappings in Hölder and Sobolev spaces Bojarski, Bogdan, Hajłasz, Piotr, and Strzelecki, Paweł Manuscripta Math. 118, 383–397, 2005 [Abs] [HTML] [PDF]
  2. A sharp nonlinear Gagliardo-Nirenberg-type estimate and applications to the regularity of elliptic systems Rivière, Tristan, and Strzelecki, Paweł Comm. Partial Differential Equations 30, 589–604, 2005 [HTML] [PDF]
  3. How to measure volume with a thread Hajłasz, Piotr, and Strzelecki, Paweł Amer. Math. Monthly 112, 176–179, 2005 [HTML] [PDF]

2004

  1. A compactness theorem for weak solutions of higher-dimensional H-systems Strzelecki, Paweł, and Zatorska-Goldstein, Anna Duke Math. J. 121, 269–284, 2004 [HTML] [PDF]

2003

  1. Regularity of generalized sphere valued p-harmonic maps with small mean oscillations Strzelecki, Paweł Manuscripta Math. 112, 473–487, 2003 [HTML] [PDF]
  2. On biharmonic maps and their generalizations Strzelecki, Paweł Calc. Var. Partial Differential Equations 18, 401–432, 2003 [Abs] [HTML] [PDF]
  3. A new proof of regularity of weak solutions of the H-surface equation Strzelecki, Paweł Calc. Var. Partial Differential Equations 16, 227–242, 2003 [HTML] [PDF]

2002

  1. Improved Ck,λ approximation of higher order Sobolev functions in norm and capacity Bojarski, Bogdan, Hajłasz, Piotr, and Strzelecki, Paweł Indiana Univ. Math. J. 51, 507–540, 2002 [HTML] [PDF]

2001

  1. Hardy space estimates for higher-order differential operators Strzelecki, Paweł Indiana Univ. Math. J. 50, 1447–1461, 2001 [Abs] [HTML] [PDF]

1998

  1. Subelliptic p-harmonic maps into spheres and the ghost of Hardy spaces Hajłasz, Piotr, and Strzelecki, Paweł Math. Ann. 312, 341–362, 1998 [HTML] [PDF]

1996

  1. Asymptotics for the minimization of a Ginzburg-Landau energy in n dimensions Strzelecki, Paweł Colloq. Math. 70, 271–289, 1996 [HTML] [PDF]

1994

  1. Regularity of p-harmonic maps from the p-dimensional ball into a sphere Strzelecki, Paweł Manuscripta Math. 82, 407–415, 1994 [HTML] [PDF]

1993

  1. On the differentiability of solutions of quasilinear elliptic equations Hajłasz, Piotr, and Strzelecki, Paweł Colloq. Math. 64, 287–291, 1993 [HTML] [PDF]

1992

  1. Pointwise differentiability properties of solutions of quasilinear parabolic equations Strzelecki, Paweł Hokkaido Math. J. 21, 543–567, 1992 [HTML]
  2. Pointwise differentiability of weak solutions of parabolic equations with measurable coefficients Strzelecki, Paweł Ann. Acad. Sci. Fenn. Ser. A I Math. 17, 171–180, 1992 [HTML]



Proceedings papers and book chapters
  1. Geometric curvature energies: facts, trends, and open problems Strzelecki, Paweł, and von der Mosel, Heiko In: New directions in geometric and applied knot theory. De Gruyter, Berlin, 2018
  2. Convergence of weak solutions of the equation of hypersurface with prescribed mean curvature Zatorska-Goldstein, Anna, and Strzelecki, Paweł In: Mathematical approach to nonlinear phenomena: modelling, analysis and simulations. Gakko̵tosho, Tokyo, 2005
  3. On a mathematical model for thick surfaces Strzelecki, Paweł, and von der Mosel, Heiko In: Physical and numerical models in knot theory. World Sci. Publ., Singapore, 2005
  4. Quasilinear elliptic systems of Ginsburg-Landau type Strzelecki, P. In: Free boundary problems, theory and applications (Zakopane, 1995). Longman, Harlow, 1996
  5. Stationary p-harmonic maps into spheres Strzelecki, Paweł In: Singularities and differential equations (Warsaw, 1993). Polish Acad. Sci. Inst. Math., Warsaw, 1996
  6. Regularity of p-harmonic functions on a Riemann surface Strzelecki, Paweł In: Proceedings of the Fourth Finnish-Polish Summer School in Complex Analysis at Jyväskylä (1992). Univ. Jyväskylä, Jyväskylä, 1993



Editor of conference proceedings
  • European Congress of Mathematics. Proceedings of the 6th Congress (6 ECM) held at the Jagiellonian University, Kraków, July 2–7, 2012. Edited by Rafał Latała, Andrzej Ruciński, Paweł Strzelecki, Jacek Świątkowski, Dariusz Wrzosek and Piotr Zakrzewski. European Mathematical Society (EMS), Zürich, 2013. xxxiv+790 pp. ISBN: 978-3-03719-120-0.

  • Free boundary problems, theory and applications. Proceedings of the congress held in Zakopane, June 11–18, 1995. Edited by Marek Niezgódka and Pawel Strzelecki. Pitman Research Notes in Mathematics Series, 363. Longman, Harlow, 1996. viii+445 pp. ISBN: 0-582-30593-4

  • Proceedings of Banach Center Minisemester held in Warsaw, November 14–December 15, 1994. Edited by N. Kenmochi, M. Niezgódka and P. Strzelecki. GAKUTO International Series. Mathematical Sciences and Applications, 7. Gakkōtosho Co., Ltd., Tokyo, 1996. vi+446 pp. ISBN: 4-7625-0416-5


Textbooks etc. (in Polish)
  • Matematyka współczesna dla myślących laików. Wydawnictwa UW, Warszawa, 2011. 238 str. ISBN/ISSN: 978-83-235-0817-5

  • Krótkie wprowadzenie do równań różniczkowych cząstkowych. Wydawnictwa UW, Warszawa, 2006. 154 str. ISBN/ISSN: 978-83-235-0227-2