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
- J. Korvenpää, T. Kuusi and E. Lindgren, Equivalence of solutions to fractional p-Laplace type equations, To appear in J. Math. Pures Appl.
- J. Korvenpää, T. Kuusi and G. Palatucci, Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations, Math Ann. (2016)
- 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.
- J. Korvenpää, T. Kuusi and G. Palatucci, The obstacle problem for nonlinear integro-differential operators, Calc. Var. 55 (2016).
- T. Heikkinen and J. Korvenpää, Finitely randomized dyadic systems and BMO on metric measure spaces, Nonlinear Analysis 120 (2015), 30-42.
- T. Heikkinen, J. Kinnunen, J. Korvenpää and H. Tuominen, Regularity of the local fractional maximal function, Ark. Mat. 53 (2015), 127-154.
Conference talks
- PhD Lectio, in Finnish, Aalto University, 2016
- Regularity of the local fractional maximal function, Workshop on harmonic analysis and partial differential equations, Aalto University, 2015
See also