3 papers
math.AP2026
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} -Îu + (-Î)^s u + u = (I_α* F(u))\,F'(u) \quad \tex…
math.AP2025
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…
math.AP2025
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…