2 papers
math.AP2026
Critical fractional -Hardy Sobolev equations: Global compactness and multiplicity of positive solutions
Nirjan Biswas, Souptik Chakraborty, Debangana Mukherjee
We study the critical fractional -Hardy-Sobolev equation \begin{equation}\tag{}\label{a-main} (-Δ_p)^s u -μ\dfrac{|u|^{p-2}u}{|x|^{sp}}=\dfrac{|u|^{p^*_s(α)-2}u}{|x…
math.AP2025
Quantitative Stability in Fractional Hardy-Sobolev Inequalities: The Role of Euler-Lagrange Equations
Souptik Chakraborty, Utsab Sarkar
This paper investigates sharp stability estimates for the fractional Hardy-Sobolev inequality: $$μ_{s,t}\left(\mathbb{R}^N\right) \left(\int_{\mathbb{R}^N} \frac{|u|^{2^*_s(t)}}{|x…