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math.AP2026
A unified approach to nonlinear Stein theorems
Arka Mallick, Swarnendu Sil
We study regularity for the variable exponent quasilinear -Laplace type equation on domains in Heisenberg groups and Euclidean spaces. We establish bord…
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…