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math.AP2025
Brezis-Nirenberg type problem for fractional sub-Laplacian on the Heisenberg group
Vikram Yallapa Naik, Gaurav Dwivedi
In this paper, we show the existence of a weak solution for a fractional sub-Laplace equation involving a term with the critical Sobolev exponent, namely, \begin{align*} (-Δ_\mathb…
math.AP2025
On Choquard-Kirchhoff Type Critical Multiphase Problem
Anupma Arora, Gaurav Dwivedi
In this paper, we obtain the existence of weak solutions to the Choquard-Kirchhoff type critical multiphase problem: \begin{equation*} \left\{\begin{array}{cc} &-M(φ_{\h}(\lvert{\n…