8 citations · 10 across the 8 of their papers we have counts for
8 papers
Ground state solutions of mixed local-nonlolcal equations with Hartree type nonlinearities
Gurdev Chand Anthal, Prashanta Garain, Nidhi Nidhi
We study a class of mixed local-nonlocal equations with Hartree-type nonlinearities of the form \begin{equation}\label{meqnab} -Δu + (-Δ)^s u + u = (I_α* F(u))\,F'(u) \quad \text{i…
Pohozaev-type identities for classes of quasilinear elliptic local and nonlocal equations and systems, with applications
Gurdev Chand Anthal, Prashanta Garain
In this article, we establish Pohozaev-type identities for a class of quasilinear elliptic equations and systems involving both local and nonlocal -Laplace operators. Specifical…
Symmetry, existence and regularity results for a class of mixed local-nonlocal semilinear singular elliptic problem via variational characterization
Gurdev Chand Anthal, Prashanta Garain
In this article, we present the symmetry of weak solutions to a mixed local-nonlocal singular problem. We also establish results related to the existence, nonexistence, and regular…
An elliptic problem involving critical Choquard and singular discontinuous nonlinearity
Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh
The present article investigates the existence, multiplicity and regularity of weak solutions of problems involving a combination of critical Hartree type nonlinearity along with s…
Fractional Hamiltonian type system on with critical growth nonlinearity
G. C. Anthal, J. M. Do Ó, J. Giacomoni +1
This article investigates the existence and properties of ground state solutions to the following nonlocal Hamiltonian elliptic system: \begin{align*} \begin{cases} (-Δ)^\frac12 u…
Mixed local and nonlocal semilinear elliptic equation with strongly singular and critical Choquard nonlinearity
G. C. Anthal, J. Giacomoni, K. Sreenadh
In this article, we study an elliptic problem of mixed order with both local and nonlocal aspects involving singular nonlinearity in combination with critical Hartree-type nonlinea…
Choquard equation involving mixed local and nonlocal operators
Gurdev C. Anthal, Jacques Giacomoni, Konijeti Sreenadh
In this article, we study an elliptic problem involving an operator of mixed order with both local and nonlocal aspects and in the presence of critical nonlinearity of Hartree type…
A Choquard type equation with a singular absorption nonlinearity in two dimension
Gurdev Anthal, Jacques Giacomoni, Konijeti Sreenadh
In this article, we show the existence of a nonnegative solution to the singular problem $(\mc P_\la)$ posed in a bounded domain in $\mb R^2$ (see below). We achieve this by ap…