4 papers · 1 filter
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…