Frank Duzaar

Applied Mathematics · 2000–2020

A researcher in the Science corpus: 22 papers; trusts 45 researchers and is trusted by 57 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 142 citations into it; #141 of 7,620 by trust here, #130 by citations
• Computational Theory and Mathematics — 121 citations into it; #260 of 12,182 by trust here, #255 by citations
• Mathematical Physics — 39 citations into it; #562 of 8,562 by trust here, #505 by citations
• Computational Mechanics — 11 citations into it; #9,392 of 10,001 by trust here, #8,947 by citations
• Geometry and Topology — 10 citations into it; #3,767 of 7,422 by trust here, #5,351 by citations
• Numerical Analysis — 7 citations into it
• Mechanics of Materials — 6 citations into it
• Control and Systems Engineering — 5 citations into it

Whom Frank Duzaar trusts overall

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

1. Giuseppe Mingione
2. E. Acerbi
3. Jan Kristensen
4. Juha Kinnunen
5. Joseph F. Grotowski
6. K. Steffen
7. Verena Bogelein
8. Neil S. Trudinger
9. John L. Lewis
10. Mikil Foss

Who trusts Frank Duzaar overall

1. Giuseppe Mingione
2. Verena Bogelein
3. Tuomo Kuusi
4. Paolo Baroni
5. Jan Kristensen
6. Thomas Schmidt
7. Andrea Cianchi
8. Lars Diening
9. Vladimir G. Maz'ya
10. E. Teixeira

Papers from Frank Duzaar's perspective

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

1. Gradient estimates for the p (x)-Laplacean system
2. Regularity of minima: An invitation to the dark side of the calculus of variations
3. Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
4. Bounds for the singular set of solutions to non linear elliptic systems
5. Optimal interior partial regularity¶for nonlinear elliptic systems: the method of A-harmonic approximation
6. A boundary estimate for nonlinear equations with discontinuous coefficients (Differential and Integral Equations)
7. Regularity results for parabolic systems related to a class of non-Newtonian fluids
8. Regularity Results for Stationary Electro-Rheological Fluids
9. A singular minimizer of a smooth strongly convex functional in three dimensions
10. Parabolic equations with BMO coefficients in Lipschitz domains

Their papers

• Nonlinear elliptic systems with Dini continuous coefficients (2002) — 58 citations
• Optimal interior partial regularity¶for nonlinear elliptic systems: the method of A-harmonic approximation (2000) — 164 citations
• Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals (2002) — 165 citations
• Harmonic type approximation lemmas (2009) — 49 citations
• The p-harmonic approximation and the regularity of p-harmonic maps (2004) — 133 citations
• The existence of regular boundary points for non-linear elliptic systems (2007) — 64 citations
• Gradient estimates via non-linear potentials (2009) — 302 citations
• Gradient continuity estimates (2010) — 120 citations
• Local Lipschitz regularity for degenerate elliptic systems (2009) — 105 citations
• The boundary regularity of non-linear parabolic systems I (2010) — 54 citations
• Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth (2005) — 89 citations
• Gradient estimates via linear and nonlinear potentials (2010) — 206 citations
• Parabolic systems with polynomial growth and regularity (2011) — 167 citations
• Degenerate problems with irregular obstacles (2011) — 155 citations
• Partial Hölder continuity for discontinuous elliptic problems with VMO‐coefficients (2011) — 56 citations
• Higher integrability for parabolic systems with non-standard growth and degenerate diffusions (2011) — 68 citations
• Hölder estimates for parabolic p(x, t)-Laplacian systems (2012) — 52 citations
• On the H\"older regularity of signed solutions to a doubly nonlinear equation (2020) — 64 citations
• Existence of evolutionary variational solutions via the calculus of variations (2014) — 90 citations
• Parabolic equations with p, q-growth (2013) — 82 citations