M. Bhakta

activity

20092026

most citedEntire solutions for a class of variational problems involving the biharmonic operator and Rellich potentials

30 citations · 117 across the 36 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.AP2022

A system of equations involving the fractional $p$ -Laplacian and doubly critical nonlinearities

Mousomi Bhakta, Kanishka Perera, Firoj Sk

This paper deals with existence of solutions to the following fractional $p$ -Laplacian system of equations \begin{equation*} %\tag{ $P$ }\label{MAT1} \begin{cases} (-Δ_p)^s…

math.AP2022

Sharp quantitative stability of Struwe's decomposition of the Poincaré-Sobolev inequalities on the hyperbolic space: Part I

Mousomi Bhakta, Debdip Ganguly, Debabrata Karmakar +1

A classical result owing to Mancini and Sandeep [Ann. Sc. Norm. Super. Pisa Cl. Sci. 7 (2008)] asserts that all positive solutions of the Poincaré-Sobolev equation on the hyperboli…

math.AP2022

Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows

Mousomi Bhakta, Debdip Ganguly, Debabrata Karmakar +1

Consider the Poincaré-Sobolev inequality on the hyperbolic space: for every $n \geq 3$ and $1 < p \leq \frac{n + 2}{n - 2},$ there exists a best constant $S_{n, p, λ} (B^{n}) > 0$ …

A system of equations involving the fractional p-Laplacian and doubly critical nonlinearities

Sharp quantitative stability of Struwe's decomposition of the Poincaré-Sobolev inequalities on the hyperbolic space: Part I

Sharp quantitative stability of Poincare-Sobolev inequality in the hyperbolic space and applications to fast diffusion flows

A system of equations involving the fractional $p$ -Laplacian and doubly critical nonlinearities