Some research papers

• L. Berkovits, J. Kinnunen, J.M. Martell, Oscillation estimates, self-improving results and good-lambda inequalities, J. Funct. Anal. 270 (2016), 3559-3590.
• J. Kinnunen and P. Silvestre, Resistance conditions, Poincare inequalities, the Li-lip condition and Hardy's inequalities, Demonstr. Math. 49 (2016), 50-63.
• J. Kinnunen, P. Lindqvist, Unbounded supersolutions of some quasilinear parabolic equations: a dichotomy, Nonlinear Anal. 131 (2016), 229-242.
• J. Kinnunen, O. Saari, On weights satisfying parabolic Muckenhoupt conditions, Nonlinear Anal. 131 (2016), 289-299.
• T. Heikkinen, J. Kinnunen, J. Korvenpää and H. Tuominen, Regularity of the local fractional maximal function, Ark. Mat. 53 (2015), 127-154.
• H. Hakkarainen, J. Kinnunen and P. Lahti, Regularity of minimizers of the area functional in metric spaces, Adv. Calc. Var. 8 (2015), 55-68.
• J. Kinnunen, R. Korte, N. Marola and N. Shanmugalingam, A characterization of BMO self-maps of a metric measure space, Collect. Math. 66 (2015), 405-421.
• J. Kinnunen, O. Saari, Parabolic weighted norm inequalities for partial differential equations, Anal. PDE 9 (2016), 1711-1736.
• H. Hakkarainen, J. Kinnunen, P. Lahti and P. Lehtela, Relaxation and integral representation for functionals of linear growth on metric measure spaces, Anal. Geom. Metr. Spaces (to appear).
• J. Kinnunen, P. Lindqvist and T. Lukkari, Perron's method for the porous medium equation , J. European Math. Soc. 18 (2016), 2953-2969.
• J. Kinnunen and P. Shukla, The distance of L-infinity to BMO on metric measure spaces, Adv. Pure Appl. Math.5 (2014), 117-129.
• B. Bojarski, J. Kinnunen and T. Zurcher, Higher order Sobolev-type spaces on the real line, J, Funct.Spaces, 2014 Articles ID 261565, 13 pp.
• Y. Fujishima, J. Habermann, J. Kinnunen and M. Masson, Stability of parabolic quasiminimizers, Potential Anal. 41(2014), 983-1004.
• J. Kinnunen, R. Korte, N. Shanmugalingam and H. Tuominen, Pointwise properties of functions of bounded variation in metric spaces, Rev. Math. Complut. 27 (2014), 41-67.
• J. Kinnunen and M. Masson, Parabolic comparison principle and quasiminimizers in metric measure spaces, Proc. Amer. Math. Soc. 143 (2015), 621-632.
• J. Kinnunen and P. Shukla, The structure of reverse Hölder classes on metric measure spaces, Nonlinear Anal. 95 (2014), 666-675.
• T. Heikkinen, J. Kinnunen, J. Nuutinen and H. Tuominen, Mapping properties of the discrete fractional maximal operator in metric measure spaces, Kyoto J. Math. 53 (2013), 693-712.
• J. Kinnunen, R. Korte, A. Lorent and N. Shanmugalingam, Regularity of sets with quasiminimal boundary surfaces in metric spaces, J. Geom. Anal. 23 (2013), 1607-1640.
• J. Kinnunen, T. Lukkari and M. Parviainen, Local approximation of superharmonic and superparabolic functions in nonlinear potential theory, J. Fixed Point Theory Appl. 13 (2013), 291-307.
• J. Kinnunen, R. Korte, T. Kuusi and M. Parviainen, Nonlinear parabolic capacity and polar sets of superparabolic functions, Math. Ann. 355 (2013), 1349-1381.
• J. Kinnunen, N. Marola, M. Miranda and F. Paronetto, Harnack's inequality for parabolic De Giorgi classes in metric spaces, Adv. Differential Equations 17 (2012), 801-832.
• J. Kinnunen, R. Korte, N. Shanmugalingam and H. Tuominen, A characterization of Newtonian functions with zero boundary values, Calc. Var. Partial Differential Equations 43 (2012), 507-528.
• D. Aalto and J. Kinnunen, The discrete maximal operator in metric spaces, J. Anal. Math. 111 (2010), 369-390.
• J. Kinnunen, Regularity properties of discrete maximal operators in metric spaces , RIMS Kokyuroku 1823, 107-127, Stochastic Processes and Statistical Phenomena behind PDEs, Research Institute of Mathematical Sciences, Kyoto University, 2013.
• J. Kinnunen, R. Korte, N. Shanmugalingam and H. Tuominen, The De Giorgi measure and an obstacle problem related to minimal surfaces in metric spaces, J. Math. Pures Appl. 93 (2010), 599-622.
• H. Hakkarainen and J. Kinnunen, The BV-capacity in metric spaces, Manuscripta Math. 132 (2010), 51-73.
• J. Kinnunen, T. Lukkari and M. Parviainen, An existence result for superparabolic functions, J. Funct. Anal. 258 (2010), 713-728.
• J. Kinnunen and R. Korte, Characterizations for Hardy's inequalities, Around the Research of Vladimir Maz'ya, International Mathematical Series, Vol 11 Laptev Ari (Ed.), 239-254, 2010.
• J. Kinnunen, Regularity for a doubly nonlinear parabolic equation, RIMS Kokyuroku, Research Institute of Mathematical Sciences, Kyoto University, to appear.
• J. Kinnunen and M. Parviainen, Stability for degenerate parabolic equations, Adv. Calc. Var. 3 (2010), 29-48.
• M. Ekonen, J. Kinnunen, N. Marola and C. Sbordone, On Beckenbach-Rado type integral inequalities, Ricerche Mat. 58 (2009), 43-61.
• D. Aalto and J. Kinnunen, Maximal functions in Sobolev spaces, Sobolev Spaces in Mathematics I, International Mathematical Series, Vol. 8 Maz'ya, Vladimir (Ed.), 25-68, Springer, 2008.
• J. Kinnunen and R. Korte, Characterizations of Sobolev inequalities on metric spaces, J. Math. Anal. Appl. 344 (2008), 1093-1104. arXiv:0709.1097v1.
• J. Kinnunen, R. Korte, N. Shanmugalingam and H. Tuominen, Lebesgue points and capacities via boxing inequality in metric spaces, Indiana Univ. Math. J. 57 (2008), 401-430.
• J. Kinnunen and P. Lindqvist, Definition and properties of supersolutions to the porous medium equation, J. reine angew. Math. 618 (2008), 135-168.
• J. Kinnunen, On the definition and properties of superparabolic functions, RIMS Kokyuroku 1553, 33-43, Potential Theory and Related Fields, Research Institute of Mathematical Sciences, Kyoto University, 2007.
• J. Kinnunen and H. Tuominen, Pointwise behaviour of Sobolev functions whose gradient is integrable to power one, Math. Z. 257 (2007), 613-630.
• J. Kinnunen and T. Kuusi, Local behaviour of solutions of doubly nonlinear parabolic equations, Math. Ann. 337 (2007), 705-528.
• J. Kinnunen and P. Lindqvist, Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation, Ann. Mat. Pura Appl. (4) 185 (2006), 411-435.
• J. Kinnunen and N. Shanmugalingam, Polar sets on metric spaces, Trans. Amer. Math. Soc. 358 (2006), 11-37.
• J. Kinnunen and P. Lindqvist, Summability of semicontinuous supersolutions to a quasilinear parabolic equation, Ann Sc. Norm. Super. Pisa Cl. Sci. (5) 4 (2005), 59-78.
• P. Harjulehto and J. Kinnunen, Differentiation bases for Sobolev functions on metric spaces, Publ. Mat. 48 (2004), 381-395.
• J. Kinnunen and E. Saksman, Regularity of the fractional maximal function, Bull. London Math. Soc. 35 (2003), 529-535.
• J. Kinnunen and J.L. Lewis, Very weak solutions of parabolic systems of p-Laplacian type, Ark. Mat. 40 (2002), 105-132.
• J. Kinnunen and V. Latvala, Lebesgue points for Sobolev functions on metric spaces, Revista Mat. Iberoamericana 18 (2002), 105-132.
• J. Kinnunen, Minimal, maximal and reverse Hölder inequalities, Papers on Analysis: A volume dedicated to Olli Martio on the occasion of his 60th birthday, Report, Univ. Jyväskylä 83 (2001), 225-247.
• J. Kinnunen and N. Shanmugalingam, Regularity of quasi-minimizers on metric spaces, Manuscripta Math. 105 (2001), 401-423.
• J. Kinnunen and J.L. Lewis, Higher integrability for parabolic systems of p-Laplacian type, Duke Math. J. 102 (2000), 253-271.
• J. Kinnunen and O. Martio, Choquet property for the Sobolev capacity in metric spaces, Proceedings on Analysis and Geometry (Novosibirsk Akademgorodok, 1999), 285-290, Izdat. Ross. Akad. Nauk Sib. Otd. Inst. Mat., Novosibirsk, 2000.
• J. Kinnunen and S. Zhou, A local estimate for nonlinear equations with discontinuous coefficients, Comm. Partial Differential Equations 24 (1999), 2043-2068.
• P. Hajlasz and J. Kinnunen, Hölder quasicontinuity of Sobolev functions on metric spaces, Revista Mat. Iberoamericana 14 (1998), 601-622.
• J. Kinnunen and P. Lindqvist, The derivative of the maximal function, J. reine angew. Math. 503 (1998), 161-167.
• J. Kinnunen and O. Martio, Hardy's inequalities for Sobolev functions, Math. Research Letters, 4 (1997), 489-500.
• J. Kinnunen, The Hardy-Littlewood maximal function of a Sobolev function, Israel J. Math., 100 (1997), 117-124.