3 papers
math.AP2025
Bifurcation and multiplicity results for critical Grushin-Choquard problems
Suman Kanungo, Pawan Kumar Mishra, Giovanni Molica Bisci
We consider the following nonlocal Brézis-Nirenberg type critical Choquard problem involving the Grushin operator \begin{equation*} \left\{ \begin{aligned} -Δ_γ& u =λu + \left(\dis…
math.AP2023
Nehari manifold approach for fractional Kirchhoff problems with extremal value of the parameter
P. K. Mishra, V. M. Tripathi
In this work we study the following nonlocal problem \begin{equation*} \left\{ \begin{aligned} M(\|u\|^2_X)(-Δ)^s u&= λ{f(x)}|u|^{γ-2}u+{g(x)}|u|^{p-2}u &&\mbox{in}\ \ Ω, u&=0 &&\m…
math.AP2018
Nehari Manifold for fractional Kirchhoff system with critical nonlinearity
J. M. do Ó, J. Giacomoni, P. K. Mishra
In this paper, we show the existence and multiplicity of positive solutions of the following fractional Kirchhoff system\\ \begin{equation} \left\{ \begin{array}{rllll} \mc L_M(u)&…