Coordonnées / Contact
Email : pierre-damien.thizy"at"univ-lyon1.fr
Bureau : 126
Téléphone : +33(0) 4 26 23 45 54
Institut Camille Jordan,
Université Claude Bernard Lyon 1
Bâtiment Braconnier
21 avenue Claude Bernard
69622 Villeurbanne Cedex,
FRANCE
Maître de conférence (IUF Junior 2024)/Assistant professor.
Publications :
[21] Critical points of arbitrary energy for the Trudinger-Moser embedding in planar domains (2023), with Andrea Malchiodi and Luca Martinazzi, Advances in Mathematics, 442 (2024), no. 109548, 34 pp.
[20] Critical points of the Moser-Trudinger functional on closed surfaces, with Francesca De Marchis, Andrea Malchiodi and Luca Martinazzi, Inventiones mathematicae, 230 (2022), no. 3, 1165–1248.
[19] Sign-changing blow-up for the Moser-Trudinger equation, with Luca Martinazzi and Jérôme Vétois, Journal of Functional Analysis, 282 (2022), no. 2, Paper no. 109288, 85 pp.
[18] Multi-bumps analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points, with Olivier Druet, Journal of the European Mathematical Society, 22 (2020), no. 12, 4025–4096.
[17] When does a perturbed Moser-Trudinger inequality admit an extremal? Analysis & PDE, 13 (2020), no. 5, 1371-1415.
[16] Klein-Gordon-Maxwell-Proca type systems in the electro-magnetostatic case - the high dimensional case, with Emmanuel Hebey, Calculus of Variations and PDE’s, 58 (2019), no. 4, Art 116, 31 pp.
[15] Glueing a peak to a non-zero limiting profile for a critical Moser-Trudinger equation, with Gabriele Mancini, Journal of Mathematical Analysis and Applications, 472 (2019), no. 2, 1430–1457.
[14] Sharp quantization for Lane-Emden problems in dimension two, Pacific Journal of Mathematics, 300 (2019), no. 2, 491–497.
[13] Non-existence of extremals for the Adimurthi-Druet inequality, with Gabriele Mancini, Journal of Differential Equations, 266 (2019), no. 2-3, 1051–1072.
[12] Bubbling above the threshold of the scalar curvature in dimensions four and five, with Bruno Premoselli, Calculus of Variations and PDE’s, 57 (2018), no. 6, Art. 147, 39 pp.
[11] Klein-Gordon-Maxwell type systems in the electro-magneto-static case, with Emmanuel Hebey, Journal of Partial Differential Equations, 31 (2018), no. 2, 119–158.
[10] Positive clusters for smooth perturbations of a critical elliptic equation in dimensions 4 and 5, with Jérôme Vétois, Journal of Functional Analysis, 275 (2018), no. 1, 170–195.
[9] Unstable phases for the critical Schrödinger-Poisson system in dimension 4, Differential and Integral Equations, 30, (2017), no.11-12, 825-832.
[8] Blow-up for Schrödinger-Poisson critical systems in dimensions 4 and 5, Calculus of Variations and PDE’s, 55, (2016) no.1, Art. 20, 21 pp.
[7] The Lin-Ni conjecture in negative geometries, Journal of Differential Equations, 260, (2016) no.4, 3658-3690.
[6] Phase-stability for Schrödinger-Poisson critical systems in closed 5-manifolds, International Mathematical Research Notices, 20, (2016), 6245-6292.
[5] Stationary Kirchhoff systems in closed high dimensional manifolds, with Emmanuel Hebey, Communications in Contemporary Mathematics, 18, (2016) no.2,1550028, 53 pp.
[4] Schrödinger-Poisson systems in 4-dimensional closed manifolds, Discrete and Continuous Dynamical Systems-Series A, 36, (2016) no.4, 2257-2284.
[3] Stationary Kirchhoff systems in closed 3-dimensional manifolds, with Emmanuel Hebey, Calculus of Variations and PDE’s, 54, (2015), no.2, 2085-2114.
[2] Non-resonant states for Schrödinger-Poisson critical systems in high dimensions, Archiv der Mathematik, 104, (2015), no.5, 485-490.
[1] Klein-Gordon-Maxwell equations in high dimensions, Communications on Pure and Applied Analysis, 14, (2015), no.3, 1097-1125.