3 papers
math.AP2026
Leray-Trudinger Type Exponential Integrability in Log-Weighted Sobolev Spaces
Adimurthi, Sourav Ghosh, Arka Mallick
In this article, we conduct a comprehensive study of weighted Sobolev spaces with logarithmic weights, orginially introduced by Calanchi and Ruf to analyze the sharp exponential in…
math.AP2025
Continuity estimates for variable growth variational problems in the Heisenberg group
Arka Mallick, Swarnendu Sil
We study regularity results for local minimizers of variable growth variational problem in Heisenberg groups under suitable integrability assumption on the horizontal gradient of t…
math.AP2024
Excess decay for quasilinear equations in the Heisenberg group and consequences
Arka Mallick, Swarnendu Sil
We study regularity results for the solutions of quasilinear subelliptic -Laplace type equation in Heisenberg groups. We prove somewhat surprising excess decay estimates for the…