25 citations · 81 across the 32 of their papers we have counts for
4 papers · 1 filter
Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states
Mousomi Bhakta, Paramananda Das, Debdip Ganguly
We study the fractional Schrödinger equations with a vanishing parameter: where $s\in…
Poincaré-Sobolev equations with the critical exponent and a potential in the hyperbolic space
Mousomi Bhakta, Debdip Ganguly, Diksha Gupta +1
On the hyperbolic space, we study a semilinear equation with non-autonomous nonlinearity having a critical Sobolev exponent. The Poincaré-Sobolev equation on the hyperbolic space e…
Scale-Dependent Poincaré inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space
Anh Xuan Do, Debdip Ganguly, Nguyen Lam +1
We establish a general scale-dependent Poincaré-Hardy type identity involving a vector field on the hyperbolic space. By choosing suitable parameter, potential and vector field in…
Hardy and Rellich identities and inequalities for Baouendi-Grushin operators via spherical vector fields
Debdip Ganguly, K. Jotsaroop, Prasun Roychowdhury
For Baouendi-Grushin vector fields, we prove Hardy, Hardy-Rellich, and Rellich identities and inequalities with sharp constants. Our explicit remainder terms significantly improve…