Igor Verbitsky

Applied Mathematics · 2000–2016

A researcher in the Science corpus: 9 papers; trusts 11 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 28 citations into it; #845 of 7,620 by trust here, #835 by citations
• Computational Theory and Mathematics — 13 citations into it; #6,723 of 12,182 by trust here, #8,294 by citations
• Mathematical Physics — 11 citations into it; #2,666 of 8,562 by trust here, #2,478 by citations
• Geometry and Topology — 9 citations into it; #3,328 of 7,422 by trust here, #4,440 by citations

Whom Igor Verbitsky trusts overall

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

1. Marie-Franccoise Bidaut-V'eron
2. Neil S. Trudinger
3. D. Labutin
4. Xu-jia Wang
5. J. Serrin
6. N. Phuc
7. Stanislav I. Pohozaev
8. Jean Bourgain

Who trusts Igor Verbitsky overall

1. Boumediene Abdellaoui
2. N. Phuc
3. Giuseppe Mingione
4. Tuomo Kuusi
5. J. A. Pel'aez
6. Xu-jia Wang
7. David Kalaj
8. Frank Duzaar
9. S. Hofmann
10. E. Dynkin

Papers from Igor Verbitsky's perspective

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

1. Hessian Measures III
2. Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
3. Nonexistence results and estimates for some nonlinear elliptic problems
4. Potential estimates for a class of fully nonlinear elliptic equations
5. Quasilinear and Hessian equations of Lane-Emden type
6. Geometric Function Theory and Non-linear Analysis
7. Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels
8. On the Equivalence of Viscosity Solutions and Weak Solutions for a Quasi-Linear Equation (SIAM Journal on Mathematical Analysis)
9. Removable Singularities and Existence for a Quasilinear Equation with Absorption or Source Term and Measure Data
10. New estimates for the Laplacian, the div-curl, and related Hodge systems

Their papers

• Singular quasilinear and Hessian equations and inequalities (2009) — 60 citations
• Spaces of Lipschitz and Hölder functions and their applications (2016) — 111 citations
• The H∞-Functional Calculus and Square Function Estimates (2015) — 49 citations
• Radial fractional Laplace operators and Hessian inequalities (2012) — 70 citations
• Quasilinear and Hessian equations of Lane-Emden type (2005) — 172 citations
• Form boundedness of the general second‐order differential Operator (2004) — 66 citations
• Nonlinear potentials and two weight trace inequalities for general dyadic and radial kernels (2003) — 65 citations
• Factorization of Tent Spaces and Hankel Operators (2000) — 78 citations
• Best Constants for the Riesz Projection (2000) — 131 citations