PDE and applications

  • Date:
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Prashanta Garain
  • Contact person: Kaj Nyström
  • Seminarium

Title: On the regularity theory for mixed local and nonlocal quasilinear elliptic equations

The seminar will take place at Ångström Laboratory but it will also be possible to attend on Zoom.

Abstract: We consider mixed local and nonlocal p-Laplace equations and discuss local boundedness, local H\"older continuity, Harnack inequality, etc for weak solutions of such equations. Our approach is purely analytic that is based on De-Giorgi's theory and the results hold for any p>1. This is based on joint work with Professor Juha Kinnunen.