3 papers
math.AP2025
Sharp fractional Hardy's inequality for half-spaces in the Heisenberg group
Haripada Roy
In this work we establish the following fractional Hardy's inequality $$C\int_{\mathbb{H}^n_+}\frac{|f(ξ)|^p}{x_1^{sp+α}}dξ\leq \int_{\mathbb{H}^n}\int_{\mathbb{H}^n}\frac{|f(ξ)-f(…
math.AP2024
Fractional Hardy's inequality for half spaces in the Heisenberg group
Rama Rawat, Haripada Roy
We establish the following fractional Hardy's inequality $$\int_{\mathbb{H}^n_+}\frac{|f(ξ)|^p}{x_1^{sp}|z|^α}dξ\leq C\int_{\mathbb{H}^n_+}\int_{\mathbb{H}^n_+}\frac{|f(ξ)-f(ξ')|^p…
math.AP2023
Nonlinear elliptic eigenvalue problems in cylindrical domains becoming unbounded in one direction
Rama Rawat, Haripada Roy, Prosenjit Roy
The aim of this work is to characterize the asymptotic behaviour of the first eigenfunction of the generalised p-Laplace operator with mixed (Dirichlet and Neumann) boundary condit…