Extremum Problems for Eigenvalues of Elliptic Operators
Problems linking the shape of a domain or the coefficients of an elliptic operator to the sequence of its eigenvalues are among the most fascinating of mathematical analysis. In this book, we focus on extremal problems. For instance, we look for a domain which minimizes or maximizes a given eigenval...
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| Autor Corporativo: | |
| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel
2006.
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| Colección: | Frontiers in Mathematics.
Springer eBooks. |
| Acceso en línea: | Conectar con la versión electrónica |
| Ver en Universidad de Navarra: | https://innopac.unav.es/record=b3274903x*spi |
Tabla de Contenidos:
- Eigenvalues of elliptic operators
- Tools
- The first eigenvalue of the Laplacian-Dirichlet
- The second eigenvalue of the Laplacian-Dirichlet
- The other Dirichlet eigenvalues
- Functions of Dirichlet eigenvalues
- Other boundary conditions for the Laplacian
- Eigenvalues of Schrödinger operators
- Non-homogeneous strings and membranes
- Optimal conductivity
- The bi-Laplacian operator.
