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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Showing 2014Show all

3 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…

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

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