M. Ghosh

most citedOn the optimization of the first weighted eigenvalue

10 citations · 16 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2022

Reverse Faber-Krahn inequality for the $p$ -Laplacian in Hyperbolic space

Mrityunjoy Ghosh, Sheela Verma

In this paper, we study the shape optimization problem for the first eigenvalue of the $p$ -Laplace operator with the mixed Neumann-Dirichlet boundary conditions on multiply-connect…

math.AP2022★ 1 cited

Reverse Faber-Krahn inequalities for Zaremba problems

T. V. Anoop, Mrityunjoy Ghosh

Let $Ω$ be a multiply-connected domain in $R^{n}$ ( $n \geq 2$ ) of the form $Ω = Ω_{out} ∖ Ω_{in} ˉ .$ Set $Ω_{D}$ to be either $Ω_{out}$ or $Ω_{\te…

math.AP2021★ 10 cited

On the optimization of the first weighted eigenvalue

Nirjan Biswas, Ujjal Das, Mrityunjoy Ghosh

For $N \geq 2$ , a bounded smooth domain $Ω$ in $R^{N}$ , and $g_{0}, V_{0} \in L_{l oc}^{1} (Ω)$ , we study the optimization of the first eigenvalue for the following weighted eigenval…

math.AP2021★ 5 cited

Optimal Shapes for the First Dirichlet Eigenvalue of the $p$ -Laplacian and Dihedral symmetry

Anisa M. H. Chorwadwala, Mrityunjoy Ghosh

In this paper, we consider the optimization problem for the first Dirichlet eigenvalue $λ_{1} (Ω)$ of the $p$ -Laplacian $Δ_{p}$ , $1 < p < \infty$ , over a family of doubly connected planar…

Reverse Faber-Krahn inequality for the p-Laplacian in Hyperbolic space

Reverse Faber-Krahn inequalities for Zaremba problems

On the optimization of the first weighted eigenvalue

Optimal Shapes for the First Dirichlet Eigenvalue of the p-Laplacian and Dihedral symmetry

Reverse Faber-Krahn inequality for the $p$ -Laplacian in Hyperbolic space

Optimal Shapes for the First Dirichlet Eigenvalue of the $p$ -Laplacian and Dihedral symmetry