Jérôme Vétois

Associate Professor

Department of Mathematics and Statistics, McGill University

Adress:Department of Mathematics and Statistics McGill University, Burnside Hall, Room 914 805 Sherbrooke Street West Montreal, Quebec H3A 0B9, Canada |
Email:
jerome.vetois(at)mcgill.caTel.:
(+1)-514-398-3829 Fax:
(+1)-514-398-3899 |

Research
areas:

- Nonlinear Partial Differential Equations

- Nonlinear Analysis on Manifolds

- Nonlinear Partial Differential Equations

- Nonlinear Analysis on Manifolds

Geometric Analysis Seminar

Preprints:

[39] B. Premoselli and J. Vétois, Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions

Preprint at arXiv:2408.07823.

Publications:

[38] S. Mazumdar and J. Vétois, Existence results for the higher-order Q-curvature equation

Calculus of Variations and Partial Differential Equations (to appear). Preprint at arXiv:2007.10180.

[37] J. Flynn and J. Vétois, Liouville-type results for the CR Yamabe equation in the Heisenberg group

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (to appear). Preprint at arXiv:2310.14048.

[36] J. Vétois, Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds

Potential Analysis 61 (2024), no. 3, 485–500.

[35] J. Vétois, A note on the classification of positive solutions to the critical p-Laplace equation in R^n

Advanced Nonlinear Studies 24 (2024), no. 3, 543–552.

[34] F. Robert and J. Vétois, Blowing-up solutions for second-order critical elliptic equations: the impact of the scalar curvature

International Mathematics Research Notices 2023 (2023), no. 2, 901–931. Extended version at arxiv:1912.09376.

[33] B. Premoselli and J. Vétois, Sign-changing blow-up for the Yamabe equation at the lowest energy level

Advances in Mathematics 410B (2022), 108759, 50 p.

[32] B. Premoselli and J. Vétois, Stability and instability results for sign-changing solutions to second-order critical elliptic equations

Journal de Mathémathiques Pures et Appliquées 167 (2022), 257–293.

[31] L. Martinazzi, P.-D. Thizy and J. Vétois, Sign-changing blow-up for the Moser-Trudinger equation

Journal of Functional Analysis 282 (2022), 109288, 85 p.

[30] S. Mazumdar and J. Vétois, Non-synchronized solutions to nonlinear elliptic Schrödinger systems on a closed Riemannian manifold

Discrete and Continuous Dynamical Systems 42 (2022), no. 11, 5273–5287.

[29] J. Vétois, Convergence result and blow-up examples for the Guan-Li mean curvature flow on warped product spaces

Communications in Analysis and Geometry 29 (2021), no. 8, 1917–1935.

[28] S. Shakerian and J. Vétois, Sharp pointwise estimates for weighted critical p-Laplace equations

Nonlinear Analysis: Theory, Methods & Applications 206 (2021), 112236, 18 p.

[27] F. C. Cîrstea, F. Robert and J. Vétois, Examples of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity

Mathematische Annalen 375 (2019), no. 3-4, 1193–1230.

[26] B. Premoselli and J. Vétois, Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part

Journal of Differential Equations 266 (2019), no. 11, 7416–7458.

[25] J. Vétois, Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n

Indiana University Mathematics Journal 68 (2019), no. 3, 663–696.

[24] J. Vétois and S. Wang, Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four

Advances in Nonlinear Analysis 8 (2019), no. 1, 715–724.

[23] P.-D. Thizy and J. Vétois, Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five

Journal of Functional Analysis 275 (2018), no. 1, 170–195.

[22] J. Vétois, A priori estimates and application to the symmetry of solutions for critical p-Laplace equations

Journal of Differential Equations 260 (2016), no. 1, 149–161.

[21] O. Druet, E. Hebey and J. Vétois, Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds II

Journal für die reine und angewandte Mathematik (Crelle's Journal) 713 (2016), 149–179.

[20] J. Vétois, Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations

Advances in Mathematics 284 (2015), 122–158.

[19] F. Robert and J. Vétois, Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

Calculus of Variations and Partial Differential Equations 54 (2015), no. 1, 693–716.

[18] F. C. Cîrstea and J. Vétois, Fundamental solutions for anisotropic elliptic equations: existence and a priori estimates

Communications in Partial Differential Equations 40 (2015), no. 4, 727–765.

[17] J. Vétois, Continuity and injectivity of optimal maps

Calculus of Variations and Partial Differential Equations 52 (2015), no. 3, 587–607.

[16] F. Robert and J. Vétois, Examples of non-isolated blow-up for perturbations of the scalar curvature equation

Journal of Differential Geometry 98 (2014), no. 2, 349–356.

[15] P. Esposito, A. Pistoia, and J. Vétois, The effect of linear perturbations on the Yamabe problem

Mathematische Annalen 358 (2014), no. 1-2, 511–560.

[14] F. Robert and J. Vétois, Sign-Changing blow-up for scalar curvature type equations

Communications in Partial Differential Equations 38 (2013), no. 8, 1437–1465.

[13] A. Pistoia and J. Vétois, Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds

Journal of Differential Equations 254 (2013), no. 11, 4245–4278.

[12] P. Esposito, A. Pistoia, and J. Vétois, Blow-up solutions for linear perturbations of the Yamabe equation

Concentration Analysis and Applications to PDE (ICTS Workshop, Bangalore, 2012), Trends in Mathematics, Birkhäuser/Springer Basel, 2013, 29–47.

[11] F. Robert and J. Vétois, A general theorem for the construction of blowing-up solutions to some elliptic nonlinear equations with Lyapunov-Schmidt's finite-dimensional reduction

Concentration Analysis and Applications to PDE (ICTS Workshop, Bangalore, 2012), Trends in Mathematics, Birkhäuser/Springer Basel, 2013, 85–116.

[10] J. Vétois, Strong maximum principles for anisotropic elliptic and parabolic equations

Advanced Nonlinear Studies 12 (2012), no. 1, 101–114.

[9] J. Vétois, Existence and regularity for critical anisotropic equations with critical directions

Advances in Differential Equations 16 (2011), no. 1/2, 61–83.

[8] J. Vétois, The blow-up of critical anistropic equations with critical directions

NoDEA Nonlinear Differential Equations and Applications 18 (2011), no. 2, 173–197.

[7] O. Druet, E. Hebey and J. Vétois, Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian

Journal of Functional Analysis 258 (2010), no. 3, 999–1059.

[6] J. Vétois, Asymptotic stability, convexity, and Lipschitz regularity of domains in the anisotropic regime

Communications in Contemporary Mathematics 12 (2010), no. 1, 35–53.

[5] J. Vétois, A priori estimates for solutions of anisotropic elliptic equations

Nonlinear Analysis: Theory, Methods & Applications 71 (2009), no. 9, 3881–3905.

[4] A. M. Micheletti, A. Pistoia, and J. Vétois, Blow-up solutions for asymptotically critical elliptic equations on Riemannian manifolds

Indiana University Mathematics Journal 58 (2009), no. 4, 1719–1746.

[3] A. El Hamidi and J. Vétois, Sharp Sobolev asymptotics for critical anisotropic equations

Archive for Rational Mechanics and Analysis 192 (2009), no. 1, 1–36.

[2] E. Hebey and J. Vétois, Multiple solutions for critical elliptic systems in potential form

Communications on Pure and Applied Analysis 7 (2008), no. 3, 715–741.

[1] J. Vétois, Multiple solutions for nonlinear elliptic equations on compact Riemannian manifolds

International Journal of Mathematics 18 (2007), no. 9, 1071–1111.