2024 and later

[87] D. Azagra, M. Drake, P. Hajłasz, $C^2$-Lusin approximation of strongly convex bodies[arXiv] 

[86] P. Goldstein, Z. Grochulska, P. Hajłasz, Gluing diffeomorphisms, bi-Lipschitz mappings and homeomorphisms. [arXiv] 

[85] P. Goldstein, Z. Grochulska, P. Hajłasz, Constructing diffeomorphisms and homeomorphisms with prescribed derivative. [arXiv]

[84] P. Hajłasz, A. Schikorra, On  the Gromov non-embedding theorem. [arXiv]

[83] D. Azagra, M. Drake, P. Hajłasz, $C^2$-Lusin approximation of strongly convex functions. Inventiones Math. 236 (2024), 1055-1082. (free online access)  [arXiv] 

2023 

[82] D. Azagra, A. Cappello, P. Hajłasz,  A geometric approach to second-order differentiability of convex functions. Proc. Amer. Math. Soc. Ser. B 10 (2023), 382-397. [arXiv] 

[81] R. Alvarado, P. Hajłasz, L. Maly, A simple proof of reflexivity and separability of $N^{1,p}$ Sobolev spacesAnnales Fennici Mathematici  48 (2023), 255–275. [arXiv]

[80] P. Goldstein, P. Hajłasz Smooth approximation of mappings with rank of the derivative at most 1. Calc. Var. Partial Differential Equations  62 (2023), no. 3, Paper No. 88. [arXiv]

2022

[79] B. Esmayli, P. Hajłasz, Lipschitz mappings, metric differentiability, and factorization through metric trees. J. London Math. Soc. 106 (2022), 2663–2695.  [arXiv] 

[78] P. Hajłasz, On an old theorem of Erdős about ambiguous locus. Colloquium Math. 168 (2022), 249–256.  [arXiv]

2021

[77] D. Azagra, P. Hajłasz, Lusin-type properties of convex functions and convex bodies. J. Geom. Anal. 31 (2021), 11685–11701. [arXiv] 

[76] B. Esmayli, P. Hajłasz, The coarea inequality. Annales Fennici Mathematici 46 (2021), 965-991.  [arXiv] 

2020

[75] P. Goldstein, P. Hajłasz, P. Pankka, Topologically nontrivial counterexamples to Sard's theorem Int. Mat. Res. Not. IMRN 2020, no. 20, 7073-7096. [arXiv] 

[74] P. Hajłasz, S. Zimmerman, An implicit function theorem for Lipschitz mappings into metric spaces. Indiana Univ. Math. J.   69 (2020), 205–228.   [arXiv] 

[73] R. Alvarado, P. Gorka, P. Hajłasz, Sobolev embedding for $M^{1,p}$ spaces is equivalent to a lower bound of the measure. J. Funct. Anal. 279 (2020), no. 7 108628, 39 pp. [arXiv]

[72] R. Alvarado, P. Hajłasz, A note on metric-measure spaces supporting Poincare inequalities  Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 31 (2020), 15-23. [arXiv]

[71] M. Bonk, L. Capogna, P. Hajłasz, N. Shanmugalingam, J. T. Tyson, Analysis on metric spaces, Notices AMS. 67 (2020), 253-256. [arXiv]

2019

[70] P. Hajłasz,  Linking topological spheres.  Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl.  30 (2019), 907-909. [arXiv]

[69] P. Goldstein, P. Hajłasz, Jacobians of  $W^{1,p}$ homeomorphisms, case $p=[n/2]$. Calc. Var. Partial Differential Equations 58 (2019), no. 4, Paper No. 122, 28 pp. [arXiv] 

[68] P. Goldstein, P. Hajłasz, M. R. Pakzad, Finite distortion Sobolev mappings between manifolds are continuous. Int. Math. Res. Not. IMRN.  2019, no. 14, 4370–4391. [arXiv] 

[67] P. Goldstein, P. Hajłasz, Topological obstructions to continuity of Orlicz-Sobolev mappings of finite distortion. Ann. Mat. Pura Appl. 198 (2019), 243-262. [arXiv] 

2018

[66] P. Hajłasz, S. Malekzadeh, S. Zimmerman, Weak BLD mappings and Hausdorff measure. Nonlinear Analysis. 177 (2018), 524-531. [arXiv] 

[65] P. Goldstein, P. Hajłasz, $C^1$ mappings in $R^5$ with derivative of rank at most 3 cannot be uniformly approximated by $C^2$ mappings with derivative of rank at most 3 J. Math. Anal. Appl. 468 (2018), 1108-1114. [arXiv]   

[64] P. Goldstein, P. Hajłasz, Modulus of continuity of orientation preserving approximately differentiable homeomorphisms with a.e. negative Jacobian. Ann. Acad. Sci. Fenn. Math. 43 (2018), 147-170. [arXiv] 

[63] P. Hajłasz, The (n+1)-Lipschitz homotopy group of the Heisenberg group Hn. Proc. Amer. Math. Soc. 146 (2018), 1305-1308. [arXiv] 

2017

[62] P. Hajłasz, S. Zimmerman, Dubovitskij-Sard theorem for Sobolev mappings. Indiana Univ. Math. J. 66 (2017), 705-723. [arXiv] 

[61] P. Goldstein, P. Hajłasz, A measure and orientation preserving homeomorphism of a cube with Jacobian equal $-1$ almost everywhere.Arch. Ration. Mech. Anal. 225 (2017), 65-88. [arXiv]  

[50] P. Hajłasz, Z. Liu, A Marcinkiewicz integral type characterization of the Sobolev space. Publ. Mat. 61 (2017), 83-104. [arXiv] 

[59] P. Hajłasz, M. V. Korobkov, J. Kristensen. A bridge between Dubovitskii-Federer theorems and the coarea formula J. Funct. Anal. 272 (2017), 1265-1295. [arXiv] 

2016

[58] P. Hajłasz, X. Zhou, Sobolev homeomorphism on a sphere containing an arbitrary Cantor set in the image. Geom. Dedicata 184 (2016), 159-173. [arXiv] 

2015

[57] P. Hajłasz, S. Malekzadeh, A new characterization of the mappings of bounded length distortion. Int. Math. Res. Not. IMRN 2015, no. 24, 13238-13244. [arXiv] 

[56] P. Hajłasz, S. Zimmerman, Geodesics in the Heisenberg group. Anal. Geom. Metr. Spaces 3 (2015), 325-337. [arXiv] 

[55] P. Hajłasz, S. Malekzadeh, On conditions for unrectifiability of a metric space. Anal. Geom. Metr. Spaces 3 (2015), 1-14. [arXiv] 

2014

[54] Z. M. Balogh, P. Hajłasz, K. Wildrick, Weak contact equations for mappings into Heisenberg groups. Indiana Univ. Math. J. 63 (2014), 1839-1873. [arXiv] 

[53] P. Hajłasz, Z. Liu, Maximal potentials, maximal singular integrals and the spherical maximal function. Proc. Amer. Math. Soc. 142 (2014), 3965-3974. [arXiv] 

[52] P. Hajłasz, A. Schikorra, Lipschitz homotopy and density of Lipschitz mappings in Sobolev spaces. Ann. Acad. Sci. Fenn. Math. 39 (2014), 593-604. [arXiv] 

[51] N. DeJarnette, P. Hajłasz, A. Lukyanenko, J. Tyson, On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Conform. Geom. Dyn. 18 (2014), 119-156. [arXiv] 

[50] P. Hajłasz, A. Schikorra, J. Tyson, Homotopy groups of spheres and Lipschitz homotopy groups of Heisenberg groups Geom. Funct. Anal.24 (2014), 245-268. [arXiv] 

2013

[49] P. Hajłasz, Z. Liu, Sobolev spaces, Lebesgue points and maximal functions J. Fixed Point Theory Appl. 13 (2013), 259-269. [arXiv] 

[48] P. Hajłasz, J. Mirra, The Lusin theorem and horizontal graphs in the Heisenberg group Anal. Geom. Metr. Spaces 1 (2013), 295-301. [pdf] 

[47] J. Gong, P. Hajłasz, Differentiability of p-harmonic functions on metric measure spaces. Potential Analysis 38 (2013), 79-93. [pdf]

2012

[56] P. Goldstein, P. Hajłasz, Sobolev mappings, degree, homotopy classes and rational homology spheres. J. Geom. Anal. 22 (2012), 320-338. [pdf]

2011

[45] P. Hajłasz, Sobolev mappings: Lipschitz density is not an isometric invariant of the target. Int. Math. Res. Not. IMRN Vol. 2011, no.12, 2794-2809. [pdf]

2010

[44] P. Hajłasz, Z. Liu, A compact emebdding of a Sobolev space is equivalent to an emebdding into a better space. Proc. Amer. Math. Soc.138 (2010), 3257-3266. [pdf]

[43] P. Hajłasz, J. Maly, On approximate differentiability of the maximal function. Proc. Amer. Math. Society. 138 (2010), 165--174. [pdf]

2009

[42] P. Hajłasz, Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces. Math. Ann. 343 (2009), 801-823. [pdf]

[41] P. Hajłasz, Sobolev mappings between manifolds and metric spaces. In: Sobolev Spaces in Mathematics I. Sobolev type Inequalities pp. 185-222. International Mathematical Series. Springer 2009. [pdf]

2008

[40] P. Hajłasz, J. Tyson, Sobolev Peano cubes. Michigan Math. J. 56 (2008), 687-702. [pdf]

[39] P. Hajłasz, P. Strzelecki, X. Zhong, A new approach to interior regularity of elliptic systems with quadratic Jacobain structure in dimention two. Manuscripta Math. 127 (2008), 121-135. [pdf]

[38] P. Hajłasz, P. Koskela, H. Tuominen, Measure density and extendability of Sobolev functions Rev. Mat. Iberoamericana 24 (2008), 645-669. [pdf]

[37] P. Hajłasz, P. Koskela, H. Tuominen, Sobolev embeddings, extensions and measure density condition J. Funct. Anal. 254 (2008), 1217--1234. [pdf]

[36] P. Hajłasz, T. Iwaniec, J. Maly, J. Onninen, Weakly differentiable mappings between manifolds. Memoirs Amer. Math. Soc. 899 (2008), 1--72. [pdf]

2007

[35] P. Hajłasz, Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target. Geom. Funct. Anal. 17 (2007), 435-467. [pdf]

2005

[34] B. Bojarski, P. Hajłasz, P. Strzelecki, Sard's theorem for mappings in Holder and Sobolev spaces. Manuscripta Math. 118 (2005), 383-397 pdf

[33] P. Hajłasz, P. Strzelecki, How to measure volume with a thread. Amer. Math. Monthly 112 (2005), 176-179. [pdf] Read also [Erratum]

2004

[32] P. Hajłasz, P. Koskela, Formation of cracks under deformations with finite energy. Calc. Var. Partial Differential Equations 19 (2004), 221--227. [pdf]

[31] P. Hajłasz, J. Onninen, On boundedness of maximal functions in Sobolev spaces. Ann. Acad. Sci. Fenn. Math. 29 (2004), no. 1, 167--176.[pdf]

2003

[30] P. Hajłasz, Whitney's example by way of Assouad's embedding. Proc. Amer. Math. Soc. 131 (2003), 3463--3467. [pdf]

[29] P. Hajłasz, A new characterization of the Sobolev space. (Dedicated to Professor Aleksander Pelczynski on the occasion of his 70th birthday.) Studia Math. 159 (2003), 263--275. [pdf]

[28] P. Hajłasz, Sobolev spaces on metric-measure spaces. (Heat kernels and analysis on manifolds, graphs, and metric spaces (Paris, 2002)), 173--218, Contemp. Math. , 338, Amer. Math. Soc., Providence, RI, 2003. [pdf]

2002

[27] P. Hajłasz, J. Maly, Approximation in Sobolev spaces of nonlinear expressions involving the gradient Ark. Mat. 40 (2002), 245--274. [pdf]

[26] B. Bojarski, P. Hajłasz, P. Strzelecki, Improved $C^{k,\lambda}$ approximation of higher order Sobolev functions in norm and capacity. Indiana Univ. Mat. J. 51 (2002), 507--540. [pdf]

2001

[25] P. Hajłasz, Sobolev inequalities, truncation method, and John domains. (Papers on Analysis: A volume dedicated to Olli Martio on the occasion of his 60th birthday.) Report. Univ. Jyvaskyla 83 (2001), 109--126. [pdf] 

2000

[24] P. Hajłasz, P. Koskela, Sobolev met Poincare, Memoirs Amer. Math. Soc. 688 (2000), 1--101. [pdf]

[23] B. Franchi, P. Hajłasz, How to get rid of one of the weights in a two weight Poincare inequality?, Ann. Polon. Math 74 (2000), 97--103. [pdf]

[22] P. Hajłasz, Sobolev mappings, co-area fromula and related topics. In: Proceedings on Analysis and Geometry. Novosibirsk: Sobolev Instinute Press, 2000, pp. 227--254. [pdf]

1999

[21] P. Hajłasz, Pointwise Hardy inequalities Proc. Amer. Math. Soc. 127(1999), 417--423. [pdf]

[20] B. Franchi, P. Hajłasz, P. Koskela, Definitions of Sobolev classes on metric spaces, Ann. Inst. Fourier (Grenoble) 49 (1999), 1903--1924. [pdf]

1998

[19] P. Hajłasz, P. Strzelecki, Subelliptic p-harmonic maps into spheres and the ghost of Hardy spaces, Math. Ann. 312 (1998), 341-362. [pdf]

[18] P. Hajłasz, P. Koskela, Isoperimetric inequalities and imbedding theorems in irregular domains, J. London Math. Soc. 58 (1998), 425-450. [pdf]

[17] P. Hajłasz, J. Kinnunen, Holder quasicontinuity of Sobolev functions on metric spaces Rev. Mat. Iberoamericana, 14 (1998), 601-622. [pdf] 

1997

[16] P.Hajłasz, O. Martio, Traces of Sobolev functions on fractal type sets and characterization of extension domains J. Funct. Anal., 143(1997), 221--246. [pdf]

1996

[15] P. Hajłasz, Sobolev spaces on an arbitrary metric space, Potential Analysis , 5 (1996), 403--415. [pdf]

[14] P. Hajłasz, A counterexample to the $L^p$--Hodge decomposition, Banach Center Publications 33 (1996), 79--83. [pdf]

[13] P. Hajłasz, On approximate differentiability of functions with bounded deformation Manuscripta Math. 91 (1996), 61--72. [pdf]

1995

[12] P. Hajłasz, P. Koskela, Sobolev meets Poincare, C. R. Acad Sci. Paris 320 (1995), 1211--1215. [pdf]

[11] P. Hajłasz, Boundary behaviour of Sobolev mappings, Proc. Amer. Math. Soc. , 123 (1995), 1145-1148. [pdf]

[10] P. Hajłasz, A note on weak approximation of minors, Ann. I. H. P. Analyse non lineaire, 12 (1995), 415-424. [pdf]

[9] P. Hajłasz, Geometric approach to Sobolev spaces and badly degenerate elliptic equations, GAKUTO International Series; Mathematical Sciences and Applications, vol. 7, (1995) pp. 141--168. Nonlinear Analysis and Applications (The Proceedings of Banach Center Minisemester, November-Decembed, 1994) N.Kenmochi, M. Niezgodka, P. Strzelecki eds. [pdf]

[8] P. Hajłasz, A. Kałamajska, Polynomial asymptotics and approximation of Sobolev functions, Studia Math. 113(1995), 55-64. [pdf]

1994

[7] P. Hajłasz, Equivalent statement of the Poincare conjecture, Annali. Mat. Pura Appl. 167 (1994), 25--31. [pdf]

[6] P. Hajłasz, Approximation of Sobolev mappings, Nonlinear Analysis 22 (1994), 1579-1591. [pdf]

[5] P. Hajłasz, A Sard type theorem for Borel mappings, Colloq. Math. 67 (1994), 217--221. [pdf]

1993

[4] B. Bojarski, P. Hajłasz, Pointwise inequalities for Sobolev functions and some applications. Studia Math. 106 (1993), 77-92. [pdf]

[3] P. Hajłasz, Change of variables formula under minimal assumptions. Colloq. Math. 64 (1993), 93-101. [pdf]

[2] P. Hajłasz, Note on Meyers--Serrin's Theorem. Expositiones Math. 11 (1993), 377-379. [pdf] 

[1] P. Hajłasz, P. Strzelecki, On the differentiability of solutions of quasilinear elliptic equations, Colloq. Math. 64 (1993), 287-291. [pdf]