Manifold derivative in the Laplace-Beltrami equation

DOI10.1006/jfan.1997.3130zbMath0903.58059OpenAlexW2077156161MaRDI QIDQ1375932

F. R. Desaint, Jean-Paul Zolésio

Publication date: 15 December 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3130

zbMATH Keywords

homogeneous Dirichlet boundary conditionsLaplace-Beltrami boundary value problemshape tangential derivative

Mathematics Subject Classification ID

Boundary value problems on manifolds (58J32)

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Cites Work

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• Structure of shape derivatives for nonsmooth domains
• An existence result for a class of shape optimization problems
• Shape analysis via oriented distance functions
• Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions
• A boundary differential equation for thin shells
• Tangential differential equations for dynamical thin/shallow shells
• Domain perturbation for linear and nonlinear parabolic equations
• Mutational equations in metrics spaces

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