20 citations · 53 across the 46 of their papers we have counts for
6 papers · 2 filters
Fractional Hamiltonian systems with critical exponential growth
Joao Marcos do Ó, Jacques Giacomoni, Pawan Kumar Mishra
In this paper, we study the following nonlocal nonautonomous Hamiltonian system on whole $$ \left\{\begin{array}{ll} (-Δ)^\frac12~ u +u=Q(x) g(v)&\quad\mbox{in } \mathb…
A picone Identity for variable exponent operators and applications
Rakesh Arora, Jacques Giacomoni, Guillaume Warnault
In this work, we establish a new Picone identity for anisotropic quasilinear operators, such as the -Laplacian defined as $\mbox{div}(|\nabla u|^{p(x)-2} \nabla u).$ Our exte…
n-Kirchhoff Choquard equations with exponenetial nonlinearity
Rakesh Arora, Jacques Giacomoni, Tuhina Mukherjee +1
This article deals with the study of the following Kirchhoff equation with exponential nonlinearity of Choquard type (see below). We use the variational method in the light…
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)&…
Radial singular solutions for the N-Laplace Equation with exponential nonlinearities
M. Ghergu, J. Giacomoni, S. Prashanth
In this paper, we consider radial distributional solutions of the quasilinear equation in the punctured open ball $ B_R\backslash\{0\}\subset \RR^N$, . We o…
Existence of three positive solutions for a nonlocal singular dirichlet boundary problem
Jacques Giacomoni, Tuhina Mukherjee, Konijeti Sreenadh
In this article, we prove the existence of at least three positive solutions for the following nonlocal singular problem \begin{equation*} (P_\la)\left\{ \begin{split} (-\De)^su &=…