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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…
math.AP2024
Gagliardo-Nirenberg Inequalities in Fractional Coulomb-Sobolev spaces for Radial functions
Arka Mallick, Hoai-Minh Nguyen
We extend the range of parameters associated with the Gagliardo-Nirenberg interpolation inequalities in the fractional Coulomb-Sobolev spaces for radial functions. We also study th…