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math.AP2026
Optimization for the first weighted eigenvalue of local-nonlocal operators with a potential
R. Lakshmi, Sekhar Ghosh, Ratan Kr. Giri
In this work, we study the optimization problem for the first eigenvalue of mixed local nonlocal operators plus a potential . We begin by investigating the existence and fundame…
math.AP2026
On weak and viscosity solutions to a nonhomogeneous mixed local-nonlocal equation
R. Lakshmi, Sekhar Ghosh
This paper explores the relationship between weak and viscosity solutions to a nonhomogeneous mixed local and non-local -Laplace equation in a bounded Lipschitz domain in $\math…