M. Gursky

Applied Mathematics · 2001–2014

A researcher in the Science corpus: 9 papers; trusts 6 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 18 citations into it; #567 of 7,620 by trust here, #446 by citations
• Computational Theory and Mathematics — 6 citations into it
• Geometry and Topology — 6 citations into it; #1,327 of 7,422 by trust here, #933 by citations

Whom M. Gursky trusts overall

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

1. S. Chang
2. Aobing Li
3. Sophie Chen
4. Yanyan Li
5. Paul Yang
6. Z. Djadli
7. Jeff Viaclovsky
8. D. Azagra

Who trusts M. Gursky overall

1. Yanyan Li
2. Neil S. Trudinger
3. A. Malchiodi
4. Aobing Li
5. Bo Guan
6. Xu-jia Wang
7. Xinan Ma
8. Weimin Sheng
9. S. Chang
10. C. B. Ndiaye

Papers from M. Gursky's perspective

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

1. On some conformally invariant fully nonlinear equations
2. An a priori estimate for a fully nonlinear equation on four-manifolds
3. Scattering matrix in conformal geometry
4. Local estimates for some fully nonlinear elliptic equations
5. A Fully Nonlinear Equation on Four-Manifolds with Positive Scalar Curvature
6. Paneitz-type operators and applications
7. Nonsmooth analysis and Hamilton–Jacobi equations on Riemannian manifolds
8. The Yamabe problem for higher order curvatures
9. On the Chern-Gauss-Bonnet integral for conformal metrics on R4
10. On positive solutions to semilinear conformally invariant equations on locally conformally flat manifolds

Their papers

• A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$-curvature (2014) — 104 citations
• Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary (2009) — 47 citations
• Volume comparison and the σk-Yamabe problem (2004) — 55 citations
• Prescribing symmetric functions of the eigenvalues of the Ricci tensor (2004) — 144 citations
• A conformally invariant sphere theorem in four dimensions (2003) — 137 citations
• A Fully Nonlinear Equation on Four-Manifolds with Positive Scalar Curvature (2003) — 108 citations
• An equation of Monge-Ampère type in conformal geometry, and four-manifolds of positive Ricci curvature (2002) — 302 citations
• An a priori estimate for a fully nonlinear equation on four-manifolds (2002) — 175 citations
• A new variational characterization of three-dimensional space forms (2001) — 91 citations