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- Paweł Strzelecki
- 2006

We give a simple direct proof of the interpolation inequality ‖∇f‖2 L2p C‖f‖BMO‖f‖W 2, p , where 1 < p < ∞. For p = 2 this inequality was obtained by Meyer and Rivière via a different method, and it… (More)

We discuss the analytic properties of curves γ whose global curvature function ρG[γ ]−1 is p-integrable. It turns out that the Lp-norm Up(γ ) := ‖ρG[γ ]−1‖Lp is an appropriate model for a… (More)

- Bogdan Bojarski, Piotr Hajłasz, Paweł Strzelecki
- 2005

We prove various generalizations of classical Sard’s theorem to mappings f : M → N between manifolds in Hölder and Sobolev classes. It turns out that if f ∈ C(M, N), then—for arbitrary k and λ—one… (More)

- TRISTAN RIVIÈRE, Paweł Strzelecki
- 2005

The seminal paper of Coifman et al. (1993) has triggered numerous new applications of Hardy spaces and the space BMO of functions of bounded mean oscillation to nonlinear partial differential… (More)

- BOGDAN BOJARSKI, PIOTR HAJŁASZ, Paweł Strzelecki
- 2002

The approximation theorem of Michael and Ziemer asserts that any function u ∈ Wk,p(Rn) can be redefined on a set of small Bessel capacity Bk−m,p to yield a function w ∈ Cm, which moreover is close to… (More)

- Paweł Strzelecki
- 2003

We prove (see Theorem 1.3 below) that a generalized harmonic map into a round sphere, i.e. a map u ∈ W 1,1 loc ( , Sn−1) which solves the system div (ui∇uj − uj∇ui) = 0, i, j = 1, . . . , n, is… (More)

- Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein
- 2009

We prove that every polyharmonic map u ∈ W (B, SN−1) is smooth in the critical dimension n = 2m. Moreover, in every dimension n, a weak limit u ∈ W (B, SN−1) of a sequence of polyharmonic maps uj ∈ W… (More)

- Paweł Strzelecki, ANNA ZATORSKA-GOLDSTEIN
- 2004

We prove that any weak limit of weak solutions uk of the degenerate nonlinear elliptic system, the so-called (perturbed) H -system div(|∇uk |∇uk) = H(uk) ∂uk ∂x1 ∧ · · · ∧ ∂uk ∂xn +8k, where 8k → 0… (More)

- Piotr Hajłasz, Paweł Strzelecki, Xiao Fen Zhong
- 2007

then u is continuous. This result solves a conjecture of Heinz about regularity of solutions to the prescribed bounded mean curvature equation and a conjecture of Hildebrandt about regularity of all… (More)

- Grzegorz Piotrowski, Rafał Gawor, +4 authors Piotr Potemski
- Kardiologia polska
- 2012

A case of a 36-year old woman with HER2-positive early breast cancer treated with adjuvant trastuzumab left ventricle dysfunction and cardiac arrest in ventricular fibrillation mechanism is… (More)