Piotr Hajłasz

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Person:329346

Available identifiers

zbMath Open hajlasz.piotrWikidataQ102250222 ScholiaQ102250222MaRDI QIDQ329346

List of research outcomes

PublicationDate of PublicationType
Constructing diffeomorphisms and homeomorphisms with prescribed derivative2023-12-20Paper
A geometric approach to second-order differentiability of convex functions2023-11-16Paper
Lipschitz mappings, metric differentiability, and factorization through metric trees2023-08-22Paper
A simple proof of reflexivity and separability of N^{1,p} Sobolev spaces2023-03-29Paper
On the Gromov non-embedding theorem2023-03-22Paper
Smooth approximation of mappings with rank of the derivative at most 12023-01-24Paper
A simple proof of reflexivity and separability of $N^{1,p}$ Sobolev spaces2022-08-29Paper
Smooth approximation of mappings with rank of the derivative at most $1$2022-05-19Paper
On an old theorem of Erd2022-05-09Paper
Lusin-type properties of convex functions and convex bodies2021-11-19Paper
The coarea inequality2021-09-15Paper
Finite Distortion Sobolev Mappings between Manifolds are Continuous2021-03-15Paper
Topologically Nontrivial Counterexamples to Sard’s Theorem2021-03-11Paper
Sobolev embedding for \(M^{1, p}\) spaces is equivalent to a lower bound of the measure2020-08-12Paper
A note on metric-measure spaces supporting Poincaré inequalities2020-05-13Paper
An implicit theorem for Lipschitz mappings into metric spaces2020-05-07Paper
Linking topological spheres2019-12-19Paper
Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)]2019-07-10Paper
Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion2019-03-12Paper
Weak BLD mappings and Hausdorff measure2018-11-22Paper
\(C^{1}\) mappings in \(\mathbb{R}^5\) with derivative of rank at most 3 cannot be uniformly approximated by \(C^{2}\) mappings with derivative of rank at most 32018-10-10Paper
Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian2018-03-29Paper
The (𝑛+1)-Lipschitz homotopy group of the Heisenberg group ℍⁿ2018-01-29Paper
The Dubovitskii-Sard theorem in Sobolev spaces2017-06-28Paper
A measure and orientation preserving homeomorphism with approximate Jacobian equal -1 almost everywhere2017-06-09Paper
A Marcinkiewicz integral type characterization of the Sobolev space2017-03-24Paper
A bridge between Dubovitskiĭ-Federer theorems and the coarea formula2016-12-07Paper
Sobolev embedding of a sphere containing an arbitrary Cantor set in the image2016-10-21Paper
A New Characterization of the Mappings of Bounded Length Distortion2016-02-01Paper
Geodesics in the Heisenberg group2015-11-03Paper
On conditions for unrectifiability of a metric space2015-02-25Paper
Weak contact equations for mappings into Heisenberg groups2015-02-19Paper
On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target2014-10-15Paper
Maximal potentials, maximal singular integrals, and the spherical maximal function2014-09-17Paper
Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces2014-08-06Paper
Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups2014-06-06Paper
The Lusin theorem and horizontal graphs in the Heisenberg group2013-12-02Paper
Sobolev spaces, Lebesgue points and maximal functions2013-08-27Paper
Differentiability of \(p\)-harmonic functions on metric measure spaces2013-02-15Paper
Sobolev mappings, degree, homotopy classes and rational homology spheres2012-12-04Paper
Sobolev Mappings: Lipschitz Density is not an Isometric Invariant of the Target2011-07-08Paper
A compact embedding of a Sobolev space is equivalent to an embedding into a better space2010-09-27Paper
On approximate differentiability of the maximal function2010-02-02Paper
Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces2009-03-26Paper
Sobolev Mappings between Manifolds and Metric Spaces2009-03-12Paper
Sobolev Peano cubes2009-02-20Paper
A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two2009-01-20Paper
Measure density and extendability of Sobolev functions2008-11-05Paper
Sobolev embeddings, extensions and measure density condition2008-03-20Paper
Weakly differentiable mappings between manifolds2008-03-19Paper
Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target2007-06-22Paper
Sard's theorem for mappings in Hölder and Sobolev spaces2005-12-06Paper
How to Measure Volume with a Thread2005-11-08Paper
https://portal.mardi4nfdi.de/entity/Q48208942004-10-01Paper
Formation of cracks under deformations with finite energy2004-09-22Paper
A new characterization of the Sobolev space2004-08-18Paper
https://portal.mardi4nfdi.de/entity/Q44534252004-03-07Paper
Pointwise inequalities for Sobolev functions revisited2003-10-13Paper
Approximation in Sobolev spaces of nonlinear expressions involving the gradient2003-09-30Paper
Whitney’s example by way of Assouad’s embedding2003-07-28Paper
https://portal.mardi4nfdi.de/entity/Q45481222002-10-21Paper
https://portal.mardi4nfdi.de/entity/Q43285772002-04-28Paper
How to get rid of one of the weights in a two-weight Poincaré inequality?2001-01-07Paper
Sobolev met Poincaré2000-07-11Paper
Definitions of Sobolev classes on metric spaces1999-11-24Paper
https://portal.mardi4nfdi.de/entity/Q47166811999-09-27Paper
A note on weak approximation of minors1999-04-25Paper
Hölder quasicontinuity of Sobolev functions on metric spaces1999-04-13Paper
Pointwise Hardy inequalities1998-11-18Paper
Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces1998-11-11Paper
Traces of Sobolev functions on fractal type sets and characterization of extension domains1997-12-08Paper
https://portal.mardi4nfdi.de/entity/Q56887511997-12-08Paper
On approximate differentiability of functions with bounded deformation1997-04-08Paper
Sobolev spaces on an arbitrary metric space1997-04-07Paper
https://portal.mardi4nfdi.de/entity/Q48806691996-07-16Paper
Change of variables formula under minimal assumptions1996-06-30Paper
https://portal.mardi4nfdi.de/entity/Q48474381996-04-17Paper
A Sard type theorem for Borel mappings1996-04-01Paper
Boundary Behaviour of Sobolev Mappings1995-12-14Paper
https://portal.mardi4nfdi.de/entity/Q48359171995-10-10Paper
On the differentiability of solutions of quasilinear elliptic equations1995-10-09Paper
Equivalent statement of the Poincaré conjecture1995-09-06Paper
Approximation of sobolev mappings1995-09-06Paper
https://portal.mardi4nfdi.de/entity/Q43213621995-04-04Paper
Note on Meyers-Serrin's theorem1994-11-17Paper

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