Jean Van Schaftingen

Applied Mathematics · 2000–2017

A researcher in the Science corpus: 23 papers; trusts 55 researchers and is trusted by 41 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 131 citations into it; #308 of 7,620 by trust here, #178 by citations
• Mathematical Physics — 95 citations into it; #802 of 8,562 by trust here, #379 by citations
• Computational Theory and Mathematics — 64 citations into it; #2,041 of 12,182 by trust here, #1,936 by citations
• Geometry and Topology — 28 citations into it; #3,603 of 7,422 by trust here, #3,547 by citations
• Statistical and Nonlinear Physics — 23 citations into it
• Atomic and Molecular Physics, and Optics — 19 citations into it
• Numerical Analysis — 11 citations into it; #3,114 of 3,586 by trust here, #3,260 by citations
• Control and Systems Engineering — 8 citations into it

Whom Jean Van Schaftingen trusts overall

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

1. Jean Bourgain
2. Haim Brezis
3. Thomas Bartsch
4. Vitaly Moroz
5. Tobias Weth
6. Loredana Lanzani
7. Adriana Garroni
8. E. Stein
9. Silvia Cingolani
10. Jaeyoung Byeon

Who trusts Jean Van Schaftingen overall

1. Franz Gmeineder
2. Vitaly Moroz
3. Hongyu Ye
4. Bogdan Raiță
5. Claudianor Oliveira Alves
6. Daniele Cassani
7. Jiankang Xia
8. Fashun Gao
9. Sitong Chen
10. Minbo Yang

Papers from Jean Van Schaftingen's perspective

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

1. Lifting in Sobolev spaces
2. FUNCTIONS OF BOUNDED MEAN OSCILLATION
3. Standing waves with a critical frequency for nonlinear Schrödinger equations, II
4. H1/2 maps with values into the circle: Minimal Connections, Lifting, and the Ginzburg–Landau equation
5. On the equation DIV Y = f and applications to control of phases
6. Strongly interacting bumps for the Schrödinger–Newton equations
7. Perturbation Methods and Semilinear Elliptic Problems on R^n
8. Multiple solutions to a magnetic nonlinear Choquard equation
9. Three nodal solutions of singularly perturbed elliptic equations on domains without topology
10. Symmetry and monotonicity of least energy solutions

Their papers

• Pathological solutions to elliptic problems in divergence form with continuous coefficients (2009) — 97 citations
• Boundary estimates for elliptic systems with L1–data (2000) — 58 citations
• Limiting Sobolev inequalities for vector fields and canceling linear differential operators (2011) — 133 citations
• Estimates for L-1 vector fields under higher-order differential conditions (2008) — 53 citations
• Symmetrization and minimax principles (2005) — 46 citations
• Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains (2012) — 109 citations
• Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent (2017) — 65 citations
• Odd symmetry of least energy nodal solutions for the Choquard equation (2016) — 74 citations
• Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane (2016) — 47 citations
• A guide to the Choquard equation (2016) — 572 citations
• Nodal solutions for the Choquard equation (2015) — 228 citations
• Least action nodal solutions for the quadratic Choquard equation (2015) — 76 citations
• Limiting Bourgain–Brezis estimates for systems of linear differential equations: Theme and variations (2014) — 47 citations
• Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent (2014) — 228 citations
• An $L^1$-type estimate for Riesz potentials (2014) — 58 citations
• Semi-classical states for the Choquard equation (2013) — 227 citations
• Hardy-Sobolev inequalities for vector fields and canceling linear differential operators (2013) — 80 citations
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics (2012) — 949 citations
• Existence of groundstates for a class of nonlinear Choquard equations (2012) — 463 citations
• Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity (2010) — 75 citations