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math.AP2021★ 5 cited
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…
math.AP2019
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…
math.AP2017
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…