5 citations · 5 across the 3 of their papers we have counts for
5 papers
Convex polygons and the isoperimetric problem in simply connected space forms
A R Aithal, Anisa M H Chorwadwala
In this article, we prove that there exists a unique perimeter minimizer among all piecewise smooth simple closed curves in enclosing area if ,…
Sharp bounds for higher Steklov-Dirichlet eigenvalues on domains with spherical holes
Sagar Basak, Anisa Chorwadwala, Sheela Verma
We consider mixed Steklov-Dirichlet eigenvalue problem on smooth bounded domains in Riemannian manifolds. Under certain symmetry assumptions on multiconnected domains in $\mathbb{R…
Optimal Shapes for the First Dirichlet Eigenvalue of the -Laplacian and Dihedral symmetry
Anisa M. H. Chorwadwala, Mrityunjoy Ghosh
In this paper, we consider the optimization problem for the first Dirichlet eigenvalue of the -Laplacian , , over a family of doubly connected planar…
Energy Minimization Problem related to certain Liquid Crystal Models with respect to the Position, Orientation and Size of an Obstacle having Dihedral Symmetry
Anisa M H Chorwadwala
In this paper, we deal with an obstacle placement problem inside a disk, that can be formulated as an energy minimization problem with respect to the rotations of the obstacle abou…
How to place an obstacle having a dihedral symmetry centered at a given point inside a disk so as to optimize the fundamental Dirichlet eigenvalue
Anisa M. H. Chorwadwala, Souvik Roy
A generic model for the shape optimization problems we consider in this paper is the optimization of the Dirichlet eigenvalues of the Laplace operator with a volume constraint. We…