Augusto C. Ponce
	Mail address Université catholique de Louvain Chemin du Cyclotron 2, bte L7.01.01 1348 Louvain-la-Neuve Belgium e-mail Office Bâtiment Marc de Hemptinne (cyclotron), B 009 Tel: +32 10 47 86 74 Fax: +32 10 47 25 30

Research interests

• Nonlinear partial differential equations and connections to measure theory: investigate existence and non-existence, removable singularity and unique continuation properties of solutions of equations related for instance to the Thomas-Fermi or Chern-Simons models.

• Nonlocal problems: understand local problems as a limit of nonlocal ones.

Publications

Some recent work:

• Augusto C. Ponce, Elliptic PDEs, Measures and Capacities, Tracts in Mathematics 23, European Mathematical Society (EMS), Zürich, 2016 (463 pages). Winner of the 2014 EMS Monograph Award.
  An extended version of the preface, including a description of the chapters, and the table of contents.
  The errata site developped by Yannick Voglaire.
• Luigi Ambrosio, Augusto C. Ponce, Rémy Rodiac, Critical weak-\(L^p\) differentiability of singular integrals, to appear in Rev. Mat. Iberoam.
• Augusto C. Ponce, Daniel Spector, A decomposition by non-negative functions in the Sobolev space \(W^{k, 1}\), to appear in Indiana Univ. Math. J.
• Augusto C. Ponce, Daniel Spector, A boxing inequality for the fractional perimeter, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
• Luigi Orsina, Augusto C. Ponce, Hopf potentials for the Schrödinger operator Anal. PDE 11 (2018), 2015–2047.
• Augusto C. Ponce, Nicolas Wilmet, Optimal control of nonlinear elliptic problems with sparsity, SIAM J. Control Optim. 56 (2018), 2513–2535.
• Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen, Weak approximation by bounded Sobolev maps with values into complete manifolds, C. R. Math. Acad. Sci. Paris 356 (2018), 264–271.
• Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen, Density of bounded maps in Sobolev spaces into complete manifolds, Ann. Mat. Pura Appl. (4) 196 (2017), 2261–2301.
• Luigi Orsina, Augusto C. Ponce, Flat solutions of the \(1\)-Laplacian equation Rend. Istit. Mat. Univ. Trieste 49 (2017), 41–51.
• Augusto C. Ponce, Jean Van Schaftingen, Gauge-measurable functions, Rend. Istit. Mat. Univ. Trieste 49 (2017), 113–135.
• Augusto C. Ponce, Daniel Spector, On formulae decoupling the total variation of BV functions, Nonlinear Anal. 154 (2017), 241–257.

Full list and pdf format

Bibliometrics:

Education and appointments

Full CV

Teaching