John L. Lewis

Applied Mathematics · 2000–2012

A researcher in the Science corpus: 12 papers; trusts 9 researchers and is trusted by 29 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 17 citations into it; #421 of 7,620 by trust here, #486 by citations
• Computational Theory and Mathematics — 15 citations into it; #791 of 12,182 by trust here, #1,500 by citations
• Mathematical Physics — 5 citations into it; #3,985 of 8,562 by trust here, #2,582 by citations

Whom John L. Lewis trusts overall

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

1. Kaj Nyström
2. D. Danielli
3. Carlos E. Kenig
4. S. Hofmann
5. Arshak Petrosyan
6. Mikhail Feldman
7. T. Toro
8. Björn Bennewitz
9. Carlos E.Kenig

Who trusts John L. Lewis overall

1. Verena Bogelein
2. Kaj Nyström
3. Frank Duzaar
4. S. Hofmann
5. Giuseppe Mingione
6. Xixia Ma
7. Tomasz Adamowicz
8. P. Auscher
9. J. M. Martell
10. E. Acerbi

Papers from John L. Lewis's perspective

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

1. The solution of the Kato problem in two dimensions
2. Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator
3. Regularity of Lipschitz free boundaries in two-phase problems for fully nonlinear elliptic equations
4. Boundary behavior and the Martin boundary problem for p harmonic functions in Lipschitz domains
5. Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions
6. A minimum problem with free boundary for a degenerate quasilinear operator
7. Real and complex analysis
8. REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS
9. An Extension Problem Related to the Fractional Laplacian
10. Geometric Measure Theory

Their papers

• Very weak solutions of parabolic systems ofp-Laplacian type (2002) — 96 citations
• Higher integrability for parabolic systems of p-Laplacian type (2000) — 211 citations
• Regularity and Free Boundary Regularity for the p-Laplace Operator in Reifenberg Flat and Ahlfors Regular Domains (2012) — 48 citations
• Caloric measure in parabolic flat domains (2004) — 48 citations
• Regularity of Lipschitz free boundaries in two-phase problems for the p-Laplace operator (2010) — 51 citations
• Boundary behavior and the Martin boundary problem for p harmonic functions in Lipschitz domains (2010) — 69 citations
• The Dirichlet problem for parabolic operators with singular drift terms (2001) — 88 citations
• REGULARITY AND FREE BOUNDARY REGULARITY FOR THE p LAPLACIAN IN LIPSCHITZ AND C1 DOMAINS (2008) — 49 citations
• Boundary behaviour for p-harmonic functions in Lipschitz and starlike Lipschitz ring domains (2007) — 80 citations
• On the dimension of p-harmonic measure (2005) — 54 citations
• Extrapolation of Carleson measures and the analyticity of Kato's square-root operators (2001) — 92 citations
• On the Singular Set in the Navier–Stokes Equations (2000) — 88 citations