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

collaborators

Showing 2024Show all

3 papers · 1 filter

math.AP2024

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: $(- Δ)^{s} u + u = ∣ u ∣^{p - 2} u + λ ∣ u ∣^{q - 2} u in R^{N}, u \in H^{s} (R^{N}),$ where $s\in…

math.AP2024

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…

math.AP2024

Critical $(p, q)$ -fractional problems involving a sandwich type nonlinearity

Mousomi Bhakta, Alessio Fiscella, Shilpa Gupta

In this paper, we deal with the following $(p, q)$ -fractional problem $$ (-Δ)^{s_{1}}_{p}u +(-Δ)^{s_{2}}_{q}u=λP(x)|u|^{k-2}u+θ|u|^{p_{s_{1}}^{*}-2}u \, \mbox{ in }\, Ω,\qquad u=0\,…

Fractional Schrödinger equations with mixed nonlinearities: asymptotic profiles, uniqueness and nondegeneracy of ground states

Poincaré-Sobolev equations with the critical exponent and a potential in the hyperbolic space

Critical (p,q)-fractional problems involving a sandwich type nonlinearity

Critical $(p, q)$ -fractional problems involving a sandwich type nonlinearity