Department of Mathematics and Systems Analysis

Research groups

Selected recent publications


2018

  • R. Korte, P. Lahti, X. Li and N. Shanmugalingam, Notions of Dirichlet problem for functions of least gradient in metric measure spaces, Revista Matematica Iberoamericana (to appear). Preprint (PDF)
  • V. Bögelein, F. Duzaar, R. Korte and C. Scheven, The higher integrability of weak solutions of porous medium systems, Adv. Nonlinear Anal. (to appear). Preprint (PDF)
  • J. Kinnunen, R. Korte, J. Lehrbäck and A. Vähäkangas, A maximal function approach to two-measure Poincare inequalities. Preprint (PDF)
  • J. Kinnunen, P. Lehtelä, P. Lindqvist and M. Parviainen, Supercaloric functions for the porous medium equation. Preprint (PDF)


2017

  • J. Kinnunen, J. L. Lehrbäck, A. Vähäkangas and X. Zhong, Maximal function estimates and self-improving results for Poincare inequalities, Manuscripta Math. (to appear). Preprint (PDF)
  • P. Baroni, T. Kuusi, C. Lindfors, J. M. Urbano: Existence and boundary regularity for degenerate phase transition. Preprint (PDF)
  • G. Dafni, T. Hytönen, R. Korte and H. Yue, The space JNp: nontriviality and duality. Preprint (PDF)
  • S. Armstrong, T. Kuusi and J.-C. Mourrat, The additive structure of elliptic homogenization, Invent. Math. 208 (2017), 999-1154. Preprint (PDF)
  • J. Korvenpää, T. Kuusi and G. Palatucci, Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations, Math. Ann. (to appear). Preprint (PDF)
2016

  • J. Kinnunen, P. Lindqvist and T. Lukkari, Perron's method for the porous medium equation, J. European Math. Soc. 18 (2016), 1711-1736. Preprint (PDF)
  • J. Kinnunen and O. Saari, Parabolic weighted norm inequalities and partial differential equations, Anal. PDE 9 (2016). 1711-1736, Preprint (PDF)
  • S. Armstrong, A. Gloria and T. Kuusi, Bounded correctors in almost periodic homogenization, Arch. Rat. Mech. Anal. 222 (2016), 393-426. Preprint (PDF)
  • L. Berkovits, J. Kinnunen, J. M. Martell, Oscillation estimates, self-improving results and good-lambda inequalities, J. Funct. Anal. 270 (2016), 3559-3590. Preprint (PDF)
  • H. Hakkarainen, J. Kinnunen, P. Lahti and P. Lehtelä, Relaxation and integral representation for functionals of linear growth on metric measure spaces, Anal. Geom. Metr. Spaces 4 (2016), 288-313. Preprint (PDF)

2015

  • T. Heikkinen, J. Kinnunen, J. Korvenpää and H. Tuominen, Regularity of the local fractional maximal function, Ark. Mat. 53 (2015), no. 1, 127-154. Preprint (PDF)
  • A. Björn, J. Björn, U. Gianazza and M. Parviainen, Boundary regularity for degenerate and singular parabolic equations, Calc. Var. Partial Differential Equations 52 (2015), 797-827. Preprint (PDF)
  • R. Korte, P. Lahti and N. Shanmugalingam, Semmes family of curves and a characterization of functions of bounded variation in terms of curves, Calc. Var. Partial Differential Equations 54 (2015), 1393-1424. Preprint (PDF)
  • T. Kuusi, G Mingione and Y. Sire, Nonlocal equations with measure data. Comm. Math. Phys. 337 (2015), 1317-1368. Preprint (PDF)
  • T. Kuusi, G. Mingione and Y. Sire: Nonlocal self-improving properties, Anal. PDE 8 (2015), 57-114. Preprint (PDF)


2014

  • P. Baroni, T. Kuusi and J.-M. Urbano, A quantitative modulus of continuity for the two-phase Stefan problem, Arch. Rat. Mech. Anal., 214 (2014), 545-573. Preprint (PDF)
  • R. Korte and P. Lahti, Relative isoperimetric inequalities and sufficient conditions for finite perimeter on metric spaces, Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), 129–154.
  • T. Kuusi and G. Mingione: The Wolff gradient bound for degenerate parabolic equations, J. European Math. Soc. 16 (2014), 835-892.

Many more publications can be found on the individual websites of the group members

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