Interior and boundary regularity results for strongly nonhomogeneous $p,q$-fractional problems

no code implementations • 11 Feb 2021 • Jacques Giacomoni, Deepak Kumar, K. Sreenadh

We establish completely new H\"older continuity results, up to the boundary, for the weak solutions to fractional $(p, q)$-problems involving singular as well as regular nonlinearities.

Analysis of PDEs

Variational framework and Lewy-Stampacchia type estimates for nonlocal operators on Heisenberg group

no code implementations • 31 Dec 2020 • Divya Goel, Vicentiu D. Radulescu, K. Sreenadh

The aim of this article is to derive some Lewy-Stampacchia estimates and existence of solutions for equations driven by a nonlocal integro-differential operator on the Heisenberg group.

Analysis of PDEs Functional Analysis 35R03, 35R11, 49J40, 35H20