Mousomi Bhakta

activity

20142024

collaborators

Showing math.APShow all

3 papers · 1 filter

math.AP2023

Global compactness result and multiplicity of solutions for a class of critical exponent problem in the hyperbolic space

Mousomi Bhakta, Debdip Ganguly, Diksha Gupta +1

This paper deals with the global compactness and multiplicity of positive solutions to problems of the type $$ -Δ_{\mathbb B^N} u -λu=a(x) |u|^{2^*-2}u+f(x) \quad\text{in } \mathbb…

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 $S_{n, p, λ} (B^{n}) > 0$ …

math.AP2014

Infinitely many sign changing solutions of an elliptic problem involving critical Sobolev and Hardy-Sobolev exponent

Mousomi Bhakta

We study the existence and multiplicity of sign changing solutions of the following equation $ \begin{cases} -Δu = μ|u|^{2^{\star}-2}u+\frac{|u|^{2^{*}(t)-2}u}{|x|^t}+a(x)u \quad\t…