4 papers · 1 filter
Profile decomposition and multiple positive solutions for the perturbed CR Yamabe equation on the Heisenberg group
Riju Basak, Souptik Chakraborty, Tapendu Rana +1
In this article, we study an inhomogeneous critical nonlinear equation involving the sub-Laplacian on the Heisenberg group . We prove the multiplicity of positive solu…
Sharp Quantitative Forms of the Hardy Inequality on Cartan-Hadamard Manifolds via Sobolev-Lorentz Embeddings
Avas Banerjee, Debdip Ganguly, Prasun Roychowdhury
In this article, we investigate the quantitative form of the classical Hardy inequality. In our first result, we prove the following quantitative bound under the assumption that th…
On sharp constants in higher order Adams-Cianchi inequalities
Prasun Roychowdhury, Daniel Spector
The main results of this paper are the establishment of sharp constants for several families of critical Sobolev embeddings. These inequalities were pioneered by David R. Adams, wh…
Generalized principal eigenvalues of convex nonlinear elliptic operators in
Anup Biswas, Prasun Roychowdhury
We study the generalized eigenvalue problem in for a general convex nonlinear elliptic operator which is locally elliptic and positively -homogeneous. Generalizin…