On the optimization of the first weighted eigenvalue

Nirjan Biswas, Ujjal Das, Mrityunjoy Ghosh

For $N\ge 2$, a bounded smooth domain $\Omega$ in ${\mathbb{R}}^N$, and $g_0,V_0\in L_{loc}^1(\Omega )$, we study the optimization of the first eigenvalue for the following weighted eigenval…