J. Vétois

activity

20042014

most citedDecay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations

10 citations · 14 across the 5 of their papers we have counts for

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4 papers · 1 filter

math.AP2014★ 10 cited

Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations

Jérôme Vétois

We investigate the asymptotic behavior of solutions of anisotropic equations of the form $- \sum_{i = 1}^{n} \partial_{x_{i}} (∣ \partial_{x_{i}} u ∣^{p_{i} - 2} \partial_{x_{i}} u) = f (x, u)$ i…

math.AP2014★ 3 cited

A priori estimates and application to the symmetry of solutions for critical $p$ -Laplace equations

Jérôme Vétois

We establish pointwise a priori estimates for solutions in $D^{1, p} (R^{n})$ of equations of type $- Δ_{p} u = f (x, u)$ , where $p \in (1, n)$ , $Δ_p:=\mbox{div}\big(\left|\nabla u\right…

math.AP2014★ 1 cited

Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

Frédéric Robert, Jérôme Vétois

We construct blowing-up sign-changing solutions to some nonlinear critical equations by glueing a standard bubble to a degenerate function. We develop a method based on analyticity…

math.AP2012

The effect of linear perturbations on the Yamabe problem

Pierpaolo Esposito, Angela Pistoia, Jérôme Vétois

In conformal geometry, the Compactness Conjecture asserts that the set of Yamabe metrics on a smooth, compact, aspherical Riemannian manifold (M,g) is compact. Established in the l…

Decay estimates and a vanishing phenomenon for the solutions of critical anisotropic equations

A priori estimates and application to the symmetry of solutions for critical p-Laplace equations

Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold

The effect of linear perturbations on the Yamabe problem

A priori estimates and application to the symmetry of solutions for critical $p$ -Laplace equations