Janne Korvenpää's Research Page

Affiliation

I work at the Aalto University School of Science, Department of Mathematics as a Postdoctoral Researcher in the Nonlinear PDE research group (led by Professor Kinnunen).

Research interests

Fractional p-Laplace type equations, Harmonic Analysis

Master's Thesis, in Finnish

Publications

  1. J. Korvenpää, T. Kuusi and E. Lindgren, Equivalence of solutions to fractional p-Laplace type equations, To appear in J. Math. Pures Appl.
  2. J. Korvenpää, T. Kuusi and G. Palatucci, Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations, Math Ann. (2016)
  3. J. Korvenpää, T. Kuusi and G. Palatucci, Hölder regularity up to the boundary for a class of fractional obstacle problems , Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 27 (2016), 355-367.
  4. J. Korvenpää, T. Kuusi and G. Palatucci, The obstacle problem for nonlinear integro-differential operators, Calc. Var. 55 (2016).
  5. T. Heikkinen and J. Korvenpää, Finitely randomized dyadic systems and BMO on metric measure spaces, Nonlinear Analysis 120 (2015), 30-42.
  6. T. Heikkinen, J. Kinnunen, J. Korvenpää and H. Tuominen, Regularity of the local fractional maximal function, Ark. Mat. 53 (2015), 127-154.

Conference talks

  1. PhD Lectio, in Finnish, Aalto University, 2016
  2. Regularity of the local fractional maximal function, Workshop on harmonic analysis and partial differential equations, Aalto University, 2015

See also