4 papers
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 $$C\int_{\mathbb{H}^n_+}\frac{|f(ξ)|^p}{x_1^{sp+α}}dξ\leq \int_{\mathbb{H}^n}\int_{\mathbb{H}^n}\frac{|f(ξ)-f(…
Fractional Hardy's inequality for half spaces in the Heisenberg group
Rama Rawat, Haripada Roy
We establish the following fractional Hardy's inequality $$\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…
Fractional Caffarelli-Kohn-Nirenberg type inequalities on the Heisenberg group
Rama Rawat, Haripada Roy, Prosenjit Roy
The aim of this work is to establish some cases of the Caffarelli-Kohn-Nirenberg inequalities on the Heisenberg group for the fractional Sobolev spaces. Here we work with the fract…
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…