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Extremal p -Laplacian eigenvalues
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Resumo(s)
We study the shape optimization problem of variational Dirichlet and Neumann p-Laplacian eigenvalues, with area and perimeter constraints. We prove some results that characterize the optimizers and derive the formula for the Hadamard shape derivative of Neumann p-Laplacian eigenvalues. Then, we propose a numerical method based on the radial basis functions method to solve the eigenvalue problems associated to the p-Laplacian operator. Several numerical results are presented and some new conjectures are addressed.
Descrição
Palavras-chave
p-Laplacian Eigenvalues Shape optimization
Contexto Educativo
Citação
Editora
IOP Publishing