Sur la minimisation de la première valeur propre du Laplacien

DOI10.1016/S0764-4442(00)00229-9zbMath0960.49028OpenAlexW2047231332MaRDI QIDQ4490001

Mohammed Hayouni

Publication date: 17 May 2001

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(00)00229-9

zbMATH Keywords

Laplace operatorshape optimizationfirst eigenvalueshape regularity

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (6)

Existence and regularity of Faber-Krahn minimizers in a Riemannian manifold ⋮ A free boundary approach to the Faber-Krahn inequality ⋮ Spectral optimization problems ⋮ Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints ⋮ Lipschitz continuity of state functions in some optimal shaping ⋮ Shape optimization problems for eigenvalues of elliptic operators

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