Department of Mathematics and Systems Analysis

Research groups

Selected recent publications


  • A. Nastasi and C. Pacchiano Camacho, Regularity properties of quasiminimizers of a (p,q)-Dirichlet integral. Preprint (PDF)
  • K. Myyryläinen, Median-type John-Nirenberg space in metric measure spaces. Preprint (PDF)
  • D. Beltran, C. González-Riquelme, J. Madrid and J. Weigt, Continuity of the gradient of the fractional maximal operator on W1,1(Rd). Preprint (PDF)
  • P. Garain and J. Kinnunen, On the regularity theory for mixed local and nonlocal quasilinear elliptic equations. Preprint (PDF)
  • E.-K. Kurki and C. Mudarra, On the extension of Muckenhoupt weights in metric spaces. Preprint (PDF)
  • A. Banerjee, P. Garain and J. Kinnunen, Lower semicontinuity and pointwise behavior of supersolutions for some doubly nonlinear nonlocal parabolic p-Laplace equations. Preprint (PDF)
  • R. Kr. Giri, J. Kinnunen and K. Moring, Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case. NoDEA Nonlinear Differential Equations Appl. 28 (2021), no. 3, 33. Preprint (PDF)


  • S. Eriksson-Bique, G. Giovannardi, R. Korte, N. Shanmugalingam and G. Speight, Regularity of solutions to the fractional Cheeger-Laplacian on domains in metric spaces of bounded geometry. Preprint (PDF)
  • J. Weigt, Endpoint Sobolev bounds for the uncentered fractional maximal function. Preprint (PDF)
  • A. Banerjee, P. Garain and J. Kinnunen, Some local properties of subsolutions and supersolutions for a doubly nonlinear nonlocal parabolic p-Laplace equation. Preprint (PDF)
  • K. Moring and R. Rainer, Stability for systems of porous medium type. Preprint (PDF)
  • J. Weigt, Variation of the dyadic maximal function. Preprint (PDF)
  • J. Weigt, Variation of the uncenteted maximal characteristic function. Preprint (PDF)
  • V. Buffa, M. Collins and C. Pacchiano Camacho, Existense of parabolic minimizers to the total variation flow on metric measure spaces. Preprint (PDF)
  • V. Bögelein, N. Dietrich and M. Vestberg, Existence of solutions to a diffusive shallow medium equation. Preprint (PDF)
  • P. Garain and J. Kinnunen, Nonexistence of variational minimizers related to a quasilinear singular problem in metric measure spaces, Proc. Amer. Math. Soc. (to appear). Preprint (PDF)
  • V. Vespri and M. Vestberg, An extensive study of the regularity properties of solutions to doubly singular equation, Adv. Calc. Var. (to appear). Preprint (PDF)
  • E.-K. Kurki and A. Vähäkangas, Weighted norm inequalities in a bounded domain by the sparse domination method, Rev. Mat. Complut. (to appear). Preprint (PDF)
  • V. Bögelein, F. Duzaar, J. Kinnunen and C. Scheven, Higher integrability for doubly nonlinear parabolic systems, J. Math. Pures Appl. (9) 143 (2020), 31-72. Preprint (PDF)
  • K. Moring, C. Scheven, S. Schwarzacher and T. Singer, Global higher integrability of weak solutions of porous medium systems, Comm. Pure Appl. Anal. 19 (2020), 1697-1745. Preprint (PDF)
  • J. Ramos, O. Saari and J. Weigt, Weak diffrentiablility for fractional maximal functions of general Lp functions on domains, Adv. Math. 368 (2020), 25 pp. Preprint (PDF)


  • T. Singer and M. Vestberg, Local boundedness of weak solutions to the diffusive wave approximation of the shallow water equations, J. Differential Equations 226 (2019), 3014-3033. Preprint (PDF)
  • J. Kinnunen, R. Korte, J. Lehrbäck and A. Vähäkangas, A maximal function approach to two-measure Poincare inequalities, J. Geom. Anal. 29 (2019), 1763-1810. Preprint (PDF)
  • J. Kinnunen, J. L. Lehrbäck, A. Vähäkangas and X. Zhong, Maximal function estimates and self-improving results for Poincare inequalities, Manuscripta Math.158 (2019), 119-147. Preprint (PDF)
  • J. Kinnunen, P. Lehtelä, P. Lindqvist and M. Parviainen, Supercaloric functions for the porous medium equation, J. Evol. Equ. 19 (2019), 249-270. Preprint (PDF)
  • R. Korte, P. Lahti, X. Li and N. Shanmugalingam, Notions of Dirichlet problem for functions of least gradient in metric measure spaces, Revi. Mat. Iberoamericana 35 (2019), 1603-1648. Preprint (PDF)
  • R. Korte, P. Lehtelä and S. Sturm, Lower semicontinuous obstacles for the porous medium equation, J. Differential Equations 266 (2019), 1851-1864. Preprint (PDF)
  • V. Bögelein, F. Duzaar, R. Korte and C. Scheven, The higher integrability of weak solutions of porous medium systems, Adv. Nonlinear Anal. (2019), 1004-10034. Preprint (PDF)

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

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