On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
By N. Filonov. 2005
72 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/778b35a3b7329b3b68afeb727a1675f634203398
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Bartlomiej Siudeja
- M. Mitrea
- Tadeusz Kulczycki
- Iosif Polterovich
- Fritz Gesztesy
- Wolfgang Arendt
- Rodrigo Bañuelos
- R. Benguria
In Computational Theory and Mathematics
- M. Mitrea
- Fritz Gesztesy
- Rafe Mazzeo
- Wolfgang Arendt
- Tadeusz Kulczycki
- Bartlomiej Siudeja
- Rodrigo Bañuelos
- Iosif Polterovich
In Mathematical Physics
- M. Mitrea
- Fritz Gesztesy
- Rafe Mazzeo
- Tadeusz Kulczycki
- Wolfgang Arendt
- Rodrigo Bañuelos
- R. Benguria
- Bartlomiej Siudeja
Citations in the corpus
- Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup (2012, methodology): “This same set of test functions was used in [9] and later in [8] for the same purpose.”
- Isoperimetric Inequalities for Eigenvalues of the Laplacian (2007, background): “(For an alternative proof see [130], and more recently [66].”
- Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities (2008, methodology): “The case treated in [20] is that of a local Robin boundary condition.”
- Eigenvalue inequalities for mixed Steklov problems (2009, methodology): “3 can be viewed as a generalization of the main result of [8].”