Dr. Gilles Evéquoz
Institut für Mathematik
Goethe-Universität Frankfurt
Robert-Mayer-Str. 10
D-60629 Frankfurt
Raum 805
Phone: ++49-69-798-22557
Fax: ++49-69-798-28856
Email: evequoz@math.uni-frankfurt.de
Research interests
- Strongly indefinite problems for PDEs
- Nonlinear Schrödinger and Helmholtz equations
- Bifurcation and continuation for ODE and PDE problems
- Variational and topological methods
Teaching
Lectures
| Summer term 2014 | Analysis 1 (Math BSc + L3, 1st semester) |
| Winter term 2013/14 | Mathematische und statistische Methoden für Pharmazeuten (Pharmacy, 1st semester) |
| Summer term 2013 | Analysis 1 (Math BSc + L3, 1st semester) |
Seminars and Exercise sessions (recent)
| Summer term 2016 | Blockseminar "Integraltransformationen und ihre Anwendungen" with Prof. Dr. Tobias Weth (Math BSc + MSc) |
| Summer term 2015 | Blockseminar "Partielle Differentialgleichungen in Anwendungsbeispielen" with Prof. Dr. Tobias Weth (Math BSc + MSc) |
| Winter term 2014/15 | Exercise session for the course "Ergänzungen zur linearen Funktionalanalysis" (Math BSc + MSc) |
| Winter term 2014/15 | Exercise session for the course "Analysis II" (Math BSc + L3) |
| Summer term 2014 | Blockseminar "Konvexität und Anwendungen" with Prof. Dr. Tobias Weth (Math BSc + MSc) |
Publications
| [15] | Multiple standing waves for the nonlinear Helmholtz equation concentrating in the high frequency limit |
| Annali di Matematica Pura ed Applicata (2017) DOI 10.1007/s10231-017-0651-6, 20 pages ( Preprint ) |
| [14] | Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane |
| Analysis (2017) DOI 10.1515/anly-2016-0023, 14 pages ( Preprint ) |
| [13] | (with Tobias Weth) Branch continuation inside the essential spectrum for the nonlinear Schrödinger equation |
| Journal of Fixed Point Theory and Applications 19 (2017) pp. 475-502 ( Preprint ) |
| [12] | On the periodic and asymptotically periodic nonlinear Helmholtz equation |
| Nonlinear Analysis 152 (2017) pp. 88-101 ( Preprint ) |
| [11] | A dual approach in Orlicz spaces for the nonlinear Helmholtz equation |
| Zeitschrift für angewandte Mathematik und Physik 66 (2015) pp. 2995-3015 |
| [10] | (with Tobias Weth) Dual variational methods and nonvanishing for the nonlinear Helmholtz equation |
| Advances in Mathematics 280 (2015) pp. 690-728 ( Preprint ) |
| [9] | (with Tobias Weth) Real solutions to the nonlinear Helmholtz equation with local nonlinearity |
| Archive for Rational Mechanics and Analysis 211 (2014) pp. 359-388 ( Preprint ) |
| [8] | (with Tobias Weth) Entire solutions to nonlinear scalar field equations with indefinite linear part |
| Advanced Nonlinear Studies 12 (2012) pp. 281-314 ( Preprint ) |
| [7] | Parameter-dependent systems on the half-line and free convection boundary-layers in porous media |
| Nonlinear Differential Equations and Applications 17 (2010) pp. 497-526 |
| [6] | Global continuation for first order systems over the half-line involving parameters |
| Mathematische Nachrichten 282 (2009) pp. 1036-1078. Erratum: 283 (2010) pp. 630-631 |
| [5] | (with Charles A. Stuart) Hadamard differentiability and bifurcation |
| Proceedings of the Royal Society of Edinburgh, Series A 137 (2007) pp. 1249-1285 |
| [4] | (with Charles A. Stuart) Bifurcation points of a degenerate elliptic boundary-value problem |
| Rendiconti dei Lincei, Serie IX Matematica e Applicazioni 17 (2006) pp. 309-334 |
| [3] | (with Charles A. Stuart) Bifurcation and concentration of radial solutions of a nonlinear degenerate elliptic eigenvalue problem |
| Advanced Nonlinear Studies 6 (2006) pp. 215-232 |
| [2] | (with Charles A. Stuart) On differentiability and bifurcation |
| Advances in Mathematical Economics 8 (2006) pp. 155-184 |
| [1] | (with Max-Olivier Hongler and Theo Lasser) Resonator stability subject to dynamic random-tilt aberration |
| Journal of the Optical Society of America A 20 (2003) pp. 151-156 |