Michael Loss

Applied Mathematics · 2000–2022

A researcher in the Science corpus: 9 papers; trusts 15 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 63 citations into it; #2,371 of 7,620 by trust here, #1,901 by citations
• Computational Theory and Mathematics — 30 citations into it; #8,443 of 12,182 by trust here, #8,294 by citations
• Mathematical Physics — 21 citations into it; #2,391 of 8,562 by trust here, #3,664 by citations
• Geometry and Topology — 7 citations into it
• Mechanics of Materials — 6 citations into it

Whom Michael Loss trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Elliott H. Lieb
2. Rupert L. Frank
3. Krzysztof Bogdan
4. Bartłomiej Dyda
5. Felix Otto
6. Robert Seiringer
7. Bruno Nazaret
8. Stathis Filippas
9. José Antonio Carrillo
10. Juan Luis V'azquez

Who trusts Michael Loss overall

1. Elliott H. Lieb
2. Bartłomiej Dyda
3. Hichem Hajaiej
4. Robert Seiringer
5. Gerald Teschl
6. Rupert L. Frank
7. Ariel Martin Salort
8. M. Ashbaugh
9. F. Schunck
10. Xinwei Yu

Papers from Michael Loss's perspective

Ordered by how strongly the researchers Michael Loss trusts endorse each paper. Same corpus, a different order for every researcher.

1. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
2. A Geometrical Version of Hardy's Inequality
3. Some Inequalities Satisfied by the Quantities of Information of Fisher and Shannon
4. On the Existence of Ground States for Massless Pauli-Fierz Hamiltonians
5. A mass transportation approach to quantitative isoperimetric inequalities
6. Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities
7. The sharp Sobolev inequality in quantitative form
8. The sharp quantitative Sobolev inequality for functions of bounded variation
9. Quantitative logarithmic Sobolev inequalities and stability estimates
10. Remainder terms in the fractional Sobolev inequality

Their papers

• Hardy-Sobolev-Maz'ya inequalities for arbitrary domains (2011) — 50 citations
• Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (2015) — 113 citations
• Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence (2022) — 75 citations
• Nonlinear flows and rigidity results on compact manifolds (2013) — 54 citations
• Hardy inequalities for fractional integrals on general domains (2009) — 92 citations
• Lieb-Thirring inequalities with improved constants (2007) — 76 citations
• Stability of Matter (2005) — 217 citations
• A sharp analog of Young’s inequality on SN and related entropy inequalities (2004) — 172 citations
• Ground states in non-relativistic quantum electrodynamics (2000) — 253 citations