Iosif Polterovich
Applied Mathematics · 2003–2017
A researcher in the Science corpus: 14 papers; trusts 16 researchers and is trusted by 19 researchers here, as inferred from the citation graph.
Subfields
- Applied Mathematics — 69 citations into it; #1,266 of 7,620 by trust here, #950 by citations
- Mathematical Physics — 41 citations into it; #1,763 of 8,562 by trust here, #1,658 by citations
- Computational Theory and Mathematics — 36 citations into it; #2,258 of 12,182 by trust here, #2,060 by citations
- Geometry and Topology — 32 citations into it; #5,323 of 7,422 by trust here, #2,107 by citations
Whom Iosif Polterovich trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Nikolai Nadirashvili
- A. Girouard
- Antoine Henrot
- A. Fraser
- F. Brock
- Asma Hassannezhad
- R. Schoen
- B. Colbois
- Ahmad El Soufi
- G. Kokarev
Who trusts Iosif Polterovich overall
- Jean Bourgain
- A. Girouard
- Steve Zelditch
- Asma Hassannezhad
- G. Kokarev
- Kolesnikov Alexander
- A. Fraser
- B. Colbois
- Rodrigo Bañuelos
- Tadeusz Kulczycki
Papers from Iosif Polterovich's perspective
Ordered by how strongly the researchers Iosif Polterovich trusts endorse each paper. Same corpus, a different order for every researcher.
- An Isoperimetric Inequality for Eigenvalues of the Stekloff Problem
- Extremum Problems for Eigenvalues of Elliptic Operators
- Weyl Asymptotic Formula for the Laplacian on Domains with Rough Boundaries
- Isoperimetric Inequality for the Second Eigenvalue of a Sphere
- Spectral determination of analytic bi-axisymmetric plane domains
- Some planar isospectral domains
- On an inverse boundary value problem
- The Dirichlet-to-Neumann map for complete Riemannian manifolds with boundary
- Isoperimetric control of the Steklov spectrum
- On an inequality between Dirichlet and Neumann eigenvalues for the Laplace operator
Their papers
- Maximization of the second positive Neumann eigenvalue for planar domains (2008) — 85 citations
- Spectral problems with mixed Dirichlet-Neumann boundary conditions: isospectrality and beyond (2004) — 47 citations
- On the Hersch-Payne-Schiffer inequalities for Steklov eigenvalues (2008) — 66 citations
- Shape optimization for low Neumann and Steklov eigenvalues (2008) — 59 citations
- SPECTRAL GEOMETRY OF THE STEKLOV PROBLEM (2014) — 315 citations
- Upper bounds for Steklov eigenvalues on surfaces (2012) — 54 citations
- An isoperimetric inequality for Laplace eigenvalues on the sphere (2017) — 61 citations
- The legacy of Vladimir Andreevich Steklov (2014) — 113 citations
- Heat Invariants of the Steklov Problem (2013) — 50 citations
- Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces (2012) — 62 citations
- Eigenvalue inequalities for mixed Steklov problems (2009) — 47 citations
- Pleijel's nodal domain theorem for free membranes (2008) — 64 citations
- How large can the first eigenvalue be on a surface of genus two (2005) — 82 citations
- Extremal Metric for the First Eigenvalue on a Klein Bottle (2003) — 86 citations