Jérôme Vétois
Assistant Professor
McGill University, Department of Mathematics and Statistics

Curriculum Vitae: English / French

Geometric analysis seminar

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.ca
Tel.: (+1)-514-398-3829
Fax: (+1)-514-398-3899

Research
Research areas:
Habilitation thesis (in French)

Papers:

[25] P.-D. Thizy and J. Vétois, Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
Preprint on arXiv:1603.06479.

[24]
J. Vétois, Decay estimates and symmetry of finite energy solutions to elliptic systems in R^n
Indiana University Mathematics Journal. To appear.


[23] J. Vétois and S. Wang, Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
Advances in Nonlinear Analysis. To appear.

[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, 727765.

[17] J. Vétois, Continuity and injectivity of optimal maps
Calculus of Variations and Partial Differential Equations 52 (2015), no. 3, 587607.

[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.