Research 

My research interests lie in mathematical analysis, more precisely, in regularity theory for solutions to nonlinear elliptic and parabolic PDEs.

Publications

Moring, K., Schätzler, L., Scheven, C., Global higher integrability for systems with p-growth structure in noncylindrical domains, submitted 2025,  arXiv:2511.02553

Bögelein, V., Duzaar, F., Liao, N., Moring, K., Gradient estimates for the fractional p-Poisson equation, J. Math. Pures Appl. (9) 204 (2025), Paper No. 103764, DOI: 10.1016/j.matpur.2025.103764, arXiv

Moring, K., Scheven, C., On notions of p-parabolic capacity and applications, Potential Anal. 63 (2025), no. 2, 895–946, DOI: 10.1007/s11118-025-10193-5, arXiv

Kim, W., Moring, K., Särkiö, L., Hölder regularity for degenerate parabolic double-phase equations J. Differential Equations 434 (2025), Paper No. 113231, DOI: 10.1016/j.jde.2025.113231, arXiv

Moring, K., Scheven, C., Supercaloric functions for the porous medium equation in the fast diffusion case, Rev. Mat. Iberoam. 41 (2025), no. 2, pp. 509–550. DOI: 10.4171/RMI/1507, arXiv

Moring, K., Scheven, C., On two notions of solutions to the obstacle problem for the singular porous medium equation, Discrete Contin. Dyn. Syst. 44 (2024), no. 10, 3263–3286.   DOI: 10.3934/dcds.2024058,  arXiv

Moring, K., Schätzler, L., Scheven, C., Higher integrability for singular doubly nonlinear systems, Ann. Mat. Pura Appl. (4) 203 (2024), no. 5, 2235–2274, DOI: 10.1007/s10231-024-01443-1, arXiv

Moring, K., Schätzler, L., Continuity up to the boundary for obstacle problems to porous medium type equations, Nonlinear Anal. 242 (2024), 113499. DOI: 10.1016/j.na.2024.113499, arXiv

Kim, W., Kinnunen, J., Moring, K., Gradient higher integrability for degenerate parabolic double-phase systems, Arch. Ration. Mech. Anal. 247 (2023), no. 5, 79. DOI: 10.1007/s00205-023-01918-0, arXiv

Moring, K., Schätzler, L., On the Hölder regularity for obstacle problems to porous medium type equations, J. Evol. Equ. 22 (2022), no. 4, Paper No. 81. DOI: 10.1007/s00028-022-00840-4

Moring, K., Rainer, R., Stability for systems of porous medium type, J. Math. Anal. Appl. 506 (2022), no. 1, Paper No. 125532. DOI: 10.1016/j.jmaa.2021.125532 , arXiv

Giri, R. Kr., Kinnunen, J., Moring, K., Supercaloric functions for the parabolic p-Laplace equation in the fast diffusion case, NoDEA Nonlinear Differential Equations Appl. 28 (2021), no. 3, Paper No. 33. DOI: 10.1007/s00030-021-00694-8 , arXiv

Moring, K., Scheven, C., Schwarzacher, S., Singer, T., Global higher integrability of weak solutions of porous medium systems, Commun. Pure Appl. Anal. 19 (2020), no. 3, 1697–1745. DOI: 10.3934/cpaa.2020069 , arXiv

Doctoral thesis

Master's thesis (in Finnish)

Teaching experience

Head assistant for the following courses at Aalto University:

• Differential and integral calculus 1 (Fall 2018, 2019, 2020 & 2021)

• Differential and integral calculus 2 (Spring 2020, 2021 & 2022)

• Differential and integral calculus 3 (Spring 2019)

• Real analysis (Spring 2018)

Grants

• 2022 Postdoctoral grant from Magnus Ehrnrooth foundation (2 years)

• 2021 Doctoral training grant from Foundation for Aalto University Science and Technology (6 months)

• 2020 Doctoral training grant from Magnus Ehrnrooth foundation (1 year)

• 2019 Doctoral training grant from Magnus Ehrnrooth foundation (1 year)

• 2018 Doctoral training grant from Magnus Ehrnrooth foundation (1 year)

CV

Contact details

Email: 

kristian.moring@plus.ac.at

kristian.moring@gmail.com

Visiting Address:

Hellbrunnerstrasse 34, A-5020 Salzburg, Austria

Naturwissenschaftliche Fakultät, 1.OG, Room: 1.025