Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian with perimeter constraint
DOI10.1007/S00526-024-02872-9MaRDI QIDQ6641645
Alessandro Giacomini, Simone Cito
Publication date: 21 November 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Existence of solutions for minimax problems (49J35) Methods involving semicontinuity and convergence; relaxation (49J45) Length, area, volume, other geometric measure theory (28A75) Free boundary problems for PDEs (35R35) Variational methods for second-order elliptic equations (35J20) Functions of bounded variation, generalizations (26A45)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
- One-sided approximation of sets of finite perimeter
- A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
- Existence and regularity of minimizers for some spectral functionals with perimeter constraint
- The Saint-Venant inequality for the Laplace operator with Robin boundary conditions
- Minimization of the \(k\)-th eigenvalue of the Dirichlet Laplacian
- Quasistatic crack growth in nonlinear elasticity
- Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions
- A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter
- Best constant in Poincaré inequalities with traces: a free discontinuity approach
- Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian
- A Faber-Krahn inequality for Robin problems in any space dimension
- Shape optimization and spectral theory
- Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle
- An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
- A density result in SBV with respect to non-isotropic energies
- Stability Results for the Robin-Laplacian on Nonsmooth Domains
This page was built for publication: Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian with perimeter constraint
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6641645)
