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 2014Show all

2 papers · 1 filter

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…

math.AP2014★ 1 cited

Caffarelli-Kohn-Nirenberg type equations of fourth order with the critical exponent and Rellich potential

Mousomi Bhakta

We study the existence/nonexistence of positive solution of $Δ^{2} u - μ \frac{u}{∣ x ∣ ^{4}} = \frac{∣ u ∣ ^{q_{β} - 2} u}{∣ x ∣ ^{β}} in Ω,$ when $Ω$ is a bounded domain and $N \geq 5$ …