A global Lipschitz continuity result for a domain dependent Dirichlet eigenvalue problem for the Laplace operator
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Publication:816269
DOI10.4171/ZAA/1240zbMath1094.35086OpenAlexW2084491951MaRDI QIDQ816269
Pier Domenico Lamberti, Massimo Lanza de Cristoforis
Publication date: 10 March 2006
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1240
Estimates of eigenvalues in context of PDEs (35P15) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Variational methods for second-order elliptic equations (35J20)
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Cites Work
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- Spectral stability of the Neumann Laplacian.
- The generalized gradient at a multiple eigenvalue
- Convexity of functionals by transplantation
- Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
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