HOME CV (pdf) PUBLICATIONS MSc and PhD STUDENTS TEACHING TRANSLATIONS

P. Strzelecki, list of publications

[40] with H. von der Mosel: Geometric curvature energies: facts, trends, and open problems. In: New Directions in Geometric and Applied Knot Theory. Editors: S. Blatt, Ph. Reiter, A. Schikorra. Chapter 2, pages 8-35. Walter de Gruyter, 2018.
[39] with S. Kolasinski and H. von der Mosel: Compactness and isotopy finiteness for submanifolds with uniformly bounded geometric curvature energies. Communications in Analysis and Geometry 26 (2018), no. 16, 1251-1316.
[38] with A. Schikorra: Invitation to H-systems in higher dimensions: known results, new facts, and related open problems. EMS Surveys in Mathematical Sciences 4 (2017), no. 1, 21-42.
[37] with K. 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 (2017), 303-314.
[36] with K. Kazaniecki, M. Lasica and K. Mazowiecka: A conditional regularity result for p-harmonic flows. Nonlinear Differential Equations and Applications, 23 (2016), no. 2, Art. 9, 13 pp.
[35] with H. von der Mosel: How averaged Menger curvatures control regularity and topology of curves and surfaces. Journal of Physics: Conference Series, 544 (2014), 12 pages.
[34] with H. von der Mosel: Menger curvature as a knot energy. Physics Reports, 530, no. 3 (2013), 257-290.
[33] with M. Szumanska and H. von der Mosel: On some knot energies involving Menger curvature. Topology and its Applications, 160 (2013), 1507-1529.
[32] with P. Goldstein and A. Zatorska-Goldstein: Weak compactness of solutions for fourth order elliptic systems with critical growth. Studia Mathematica, 214 (2013), 137-156.
[31] with S. Kolasinski and H. von der Mosel: Characterizing W2,p submanifolds by p-integrability of global curvatures. Geometric and Functional Analysis, 23 (2013), 937-984.
[30] with H. von der Mosel: Tangent-point repulsive potentials for a class of non-smooth m-dimensional sets in Rn. Part I: Smoothing and self-avoidance effects. Journal of Geometric Analysis, 23 (2013), 1085-1139.
[29] with H. von der Mosel: Tangent-point self-avoidance energies for curves. J. Knot Theory Ramifications 21, no. 5 (2012).
[28] with H. von der Mosel: Integral Menger curvature for surfaces. Advances in Mathematics 226 (2011), 2233-2304.
[27] with M. Szumanska and H. von der Mosel: Regularizing and self-avoidance effects of integral Menger curvature. Annali della Scuola Norm. Sup. di Pisa 9, no. 1 (2010), 145-187.
[26] with P. Goldstein and A. Zatorska-Goldstein: On polyharmonic maps into spheres in the critical dimension. Ann. IHP, Analyse Non-lineaire 26 (2009), 1387-1405.
[25] with M. Szumanska and H. von der Mosel: A geometric curvature double integral of Menger type for space curves. Ann. Acad. Sci. Fenn. 34 (2009), 195-214.
[24] with P. Hajlasz and X. Zhong: A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two. Manuscripta Math. 127 (2008), 121-135
[23] with A. Zatorska-Goldstein: On a nonlinear fourth order elliptic system with critical growth in first order derivatives. Advances in Calc. Var 1 (2008), 205-222.
[22] with H. von der Mosel: On rectifiable curves with Lp-bounds on global curvature: Self-avoidance, regularity, and minimizing knots. Math. Z. 257 (2007), 107-130.
[21] with H. von der Mosel: Global curvature for surfaces and area minimization under a thickness constraint, Calculus of Variations and PDE 25 (2006), 431-467.
[20] Gagliardo-Nirenberg inequalities with a BMO term, Bull. London Math. Soc. 38 (2006), 294-300.
[19] with H. von der Mosel: On a mathematical model for thick surfaces. Chapter 27 in: Physical and Numerical Models in Knot Theory and their Application to the Life Sciences, vol. 36, Series Knots and Everything, World Scientific Publishing, 2005.
[18] with B. Bojarski and P. Hajlasz: On Sard's theorem for mappings in Hoelder and Sobolev classes, Manuscripta Math. 118 (2005), 383-397.
[17] with T. Riviere: A sharp non-linear Gagliardo-Nirenberg estimate and applications to regularity of nonlinear elliptic systems, Comm. PDE 30 (2005), 589-604.
[16] with P. Hajlasz: How to measure volume with a thread. Amer. Math. Monthly 112 (2005), 176-179. See also erratum.
[15] with A. Zatorska-Goldstein: A compactness theorem for higher dimensional H-systems, Duke Math. Journal 121 (2004), 269-284.
[14] On regularity of generalized sphere-valued p-harmonic maps with small mean oscillations, Manuscripta Math. 112 (2003), 473-487.
[13] On biharmonic maps and their generalizations, Calculus of Variations and PDE 18 (2003), 401-432.
[12] A new proof of regularity of weak solutions of the H-surface equation, Calculus of Variations and PDE 16 (2003), 227-242.
[11] with B. Bojarski and P. Hajlasz: Improved approximation of higher order Sobolev functions in norm and capacity, Indiana Univ. Math. Journal 51 (2002), 507-540.
[10] Hardy space estimates for higher order differential operators. Indiana Univ. Math. Journal 50 (2001), 1447-1461.
[9] with P. Hajlasz: Subelliptic p-harmonic maps into spheres and the ghost of Hardy spaces. Mathematische Annalen 312 (1998), 341-362.
[8] Stationary p-harmonic maps into spheres. In: Singularities and Differential Equations, Banach Center Publications vol. 33, pp. 383-393, Warszawa 1996.
[7] Asymptotics for a minimization of a Ginzburg-Landau energy in n dimensions, Colloquium Math. 70 (1996), 271-289.
[6] Quasilinear elliptic systems of Ginzburg-Landau type. In: Free boundary problems and applications. Proceedings of 1995 Zakopane Congress, pp. 158-165, Pitman Res. Notes Math. Ser., 363, Longman, Harlow, 1996.
[5] Regularity of p-harmonic maps from the p-dimensional ball into a sphere, Manuscripta Math. 82 (1994), 407-415.
[4] Regularity of p-harmonic functions on a Riemann surface. In: Proc. of the 4th Finnish-Polish Summer School in Complex Analysis, edited by Olli Martio and Julian Lawrynowicz, Ber. Univ. Jyvaskyla Math. Inst. 55 (1993), 183-190.
[3] with P. Hajlasz: On the differentiability of solutions of quasilinear elliptic equations, Colloquium Math. 64 (1993), 287-291
[2] Pointwise differentiability properties of solutions of quasilinear parabolic equations, Hokkaido Math. Journal 21 (1992), 543-567.
[1] Pointwise differentiability of weak solutions of parabolic equations with measurable coefficients, Ann. Acad. Sci. Fenn. 17 (1992), 171-180.

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