Remarks on an optimization problem for the $p-$Laplacian
Leandro Del Pezzo, Juli\'an Fern\'andez Bonder
TL;DR
This paper discusses improvements and remarks on an optimization problem related to the p-Laplacian operator, motivated by prior work and discussions with experts in the field.
Contribution
It provides new insights and refinements on an existing optimization problem for the p-Laplacian, enhancing understanding of its properties.
Findings
Improved bounds or conditions for the optimization problem
Clarification of the problem's properties or solutions
Connections to related mathematical theories or applications
Abstract
In this note we give some remarks and improvements on a recent paper of us [3] about an optimization problem for the Laplace operator that were motivated by some discussion the authors had with Prof. Cianchi.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Nonlinear Partial Differential Equations · Numerical methods in inverse problems