Publications

Paweł Strzelecki

Number of publications: 46

2023

• Paweł Strzelecki , Michał Miśkiewicz , Bogdan Petraszczuk , Regularity for solutions of H-systems and n-harmonic maps with n/2 square integrable derivatives, Nonlinear Analysis, Theory, Methods and Applications, 232 2023. See in PBN

2019

• Paweł Strzelecki , Bogdan Bojarski (1931-2018), Annales Societatis Mathematicae Polonae. Series II. Wiadomości Matematyczne, 55 (1) 2019, p. 231-251. See in PBN

2018

• Sławomir Kolasiński , Paweł Strzelecki , Heiko von der Mosel, Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies, Communications in Analysis and Geometry, 26 (6) 2018, p. 1251-1316. See in PBN

2017

• Armin Schikorra, Paweł Strzelecki , Invitation to H-systems in higher dimensions: known results, new facts, and related open problems, EMS Surveys in Mathematical Sciences, 4 (1) 2017, p. 21-42. See in PBN
• Paweł Strzelecki , Katarzyna Mazowiecka, The Lavrentiev gap phenomenon for harmonic maps into spheres holds on a dense set of zero degree boundary data, Advances in Calculus of Variations, 10 (3) 2017, p. 303-314. See in PBN

2016

• Krystian Kazaniecki , Michał Łasica , Paweł Strzelecki , Katarzyna Mazowiecka, A conditional regularity result for p-harmonic flows, Nonlinear Differential Equations and Applications, 2016. See in PBN

2014

• Rafał Latała , Paweł Strzelecki , Dariusz Wrzosek , Piotr Zakrzewski , Andrzej Ruciński, Jacek Świątkowski, European Congress of Mathematics, Kraków, 2-7 July, 2012, 6 European Congress of Mathematics, Kraków, Poland, 2 July 2012 - 7 July 2012. See in PBN
• Paweł Strzelecki , Heiko von der Mosel, How averaged Menger curvatures control regularity and topology of curves and surfaces?, Journal of Physics: Conference Series, 2014. See in PBN

2013

• Sławomir Kolasiński , Paweł Strzelecki , Heiko von der Mosel, Characterizing $W^{2,p}$ Submanifolds by p-Integrability of Global Curvatures, Geometric and Functional Analysis, 23 (3) 2013, p. 937 - 984. See in PBN
• Paweł Strzelecki , Heiko von der Mosel, Menger curvature as a knot energy, Physics Reports, 2013. See in PBN
• Paweł Strzelecki , Marta Szumańska , Heiko von der Mosel, On some knot energies involving Menger curvature, Topology and its Applications, 2013. See in PBN
• Paweł Strzelecki , Heiko von der Mosel, Tangent-Point Repulsive Potentials for a Class of Non-smooth m-dimensional Sets in $R^n$. Part I: Smoothing and Self-avoidance Effects, Journal of Geometric Analysis, 2013. See in PBN
• Paweł Goldstein , Paweł Strzelecki , Anna Zatorska-Goldstein , Weak compactness of solutions for fourth order elliptic systems with critical growth, Studia Mathematica, 214 (2) 2013, p. 137-156. See in PBN

2012

• Paweł Strzelecki , Heiko von der Mosel, Tangent-point self-avoidance energies for curves, Journal of Knot Theory and its Ramifications, 2012. See in PBN

2011

• Paweł Strzelecki , Heiko von der Mosel, Integral Menger curvature for surfaces, Advances in Mathematics, 2011. See in PBN
• Paweł Strzelecki , Matematyka współczesna dla myślących laików, 2011. See in PBN

2010

• Paweł Strzelecki , Marta Szumańska , Heiko von der Mosel, Regularizing and self-avoidance effects of integral Menger curvature, Annali della Scuola normale superiore di Pisa - Classe di scienze, 2010. See in PBN

2009

• Paweł Strzelecki , Marta Szumańska , Heiko von der Mosel, A geometric curvature double integral of menger type for space curves, Annales Academiae Scientiarum Fennicae Mathematica, 2009. See in PBN

2008

• Piotr Hajłasz, Paweł Strzelecki , Xiao Zhong, A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two, Manuscripta Mathematica, 2008. See in PBN
• Anna Zatorska-Goldstein , Paweł Strzelecki , On a nonlinear fourth order elliptic system with critical growth in first order derivatives, Advances in Calculus of Variations, (1) 2008, p. 205-222. See in PBN

2007

• Paweł Strzelecki , Krótkie wprowadzenie do równań różniczkowych cząstkowych, 2007. See in PBN
• Paweł Strzelecki , H. von der Mosel, On rectifiable curves with $L^p$-bounds on global curvature: self-avoidance, regularity, and minimizing knots, Mathematische Zeitschrift, 2007. See in PBN

2006

• Paweł Strzelecki , Gagliardo-Nirenberg inequalities with a BMO term, Bulletin of the London Mathematical Society, 2006. See in PBN
• Paweł Strzelecki , Heiko von der Mosel, Global curvature for surfaces and area minimization under a thickness constraint, Calculus of Variations and Partial Differential Equations, 2006. See in PBN
• Paweł Strzelecki , The Poincare conjecture?, American Mathematical Monthly, 2006. See in PBN

2005

• Tristan Riviere, Paweł Strzelecki , A sharp nonlinear Gagliardo-Nirenberg-type estimate and applications to the regularity of elliptic systems, Communications in Partial Differential Equations, 2005. See in PBN
• Piotr Hajłasz, Paweł Strzelecki , How to measure volume with a thread, American Mathematical Monthly, 2005. See in PBN
• Paweł Strzelecki , O osobliwych rozwiązaniach zagadnienia n ciał, Postępy Fizyki, 2005. See in PBN
• Paweł Strzelecki , Heiko von der Mosel, On a mathematical model for thick surfaces, 2005. See in PBN
• Bogdan Bojarski, Piotr Hajłasz, Paweł Strzelecki , Sard's theorem for mappings in Holder and Sobolev spaces, Manuscripta Mathematica, 2005. See in PBN

2004

• Anna Zatorska-Goldstein , Paweł Strzelecki , A compactness theorem for weak solutions of higher-dimensional H-systems, Duke Mathematical Journal, 121 (2) 2004, p. 269-284. See in PBN

2003

• Paweł Strzelecki , A new proof of regularity of weak solutions of the H-surface equation, Calculus of Variations and Partial Differential Equations, 2003. See in PBN
• Paweł Strzelecki , On biharmonic maps and their generalizations, Calculus of Variations and Partial Differential Equations, 2003. See in PBN
• Paweł Strzelecki , Regularity of generalized sphere valued p-harmonic maps with small mean oscillations, Manuscripta Mathematica, 2003. See in PBN

2002

• Bogdan Bojarski, Piotr Hajłasz, Paweł Strzelecki , Improved $C^{k,\lambda}$-approximation of higher order Sobolev functions in norm and capacity, Indiana University Mathematics Journal, 2002. See in PBN

2001

• Paweł Strzelecki , Hardy space estimates for higher order diffferential operators, Indiana University Mathematics Journal, 2001. See in PBN

1998

• Piotr Hajłasz, Paweł Strzelecki , Subelliptic p-harmonic maps into spheres and the ghost of Hardy spaces., Mathematische Annalen, 1998. See in PBN

1996

• Paweł Strzelecki , Asymptotics for the minimization of a Ginzburg-Landau energy in $n$ dimensions, Colloquium Mathematicum, 1996. See in PBN
• Marek Niezgódka, Paweł Strzelecki , Free boundary problems, theory and applications. Lectures presented at the congress, Zakopane, Poland, June 11-18, 1995, 1996. See in PBN
• Paweł Strzelecki , Quasilinear elliptic systems of Ginzburg-Landau type, 1996. See in PBN
• Paweł Strzelecki , Stationary $p$-harmonic maps into spheres, 1996. See in PBN

1994

• Paweł Strzelecki , Regularity of $p$-harmonic maps from the $p$-dimensional ball into a sphere, Manuscripta Mathematica, 1994. See in PBN

1993

• Piotr Hajłasz, Paweł Strzelecki , On the differentiability of solutions of quasilinear elliptic equations, Colloquium Mathematicum, 1993. See in PBN

1992

• Paweł Strzelecki , Pointwise differentiability of weak solutions of parabolic equations with measurable coefficients, Annales Academiae Scientiarum Fennicae Mathematica, 1992. See in PBN
• Paweł Strzelecki , Pointwise differentiability properties of solutions of quasilinear parabolic equations, Hokkaido Mathematical Journal, 1992. See in PBN

Others

• Paweł Strzelecki , Heiko von der Mosel, Geometric curvature energies: facts, trends, and open problems, New Directions in Geometric and Applied Knot Theory, , p. 8-35. See in PBN