Manel Sanchón

activity

20072020

most citedRegularity of stable solutions to semilinear elliptic equations on Riemannian models

17 citations · 32 across the 7 of their papers we have counts for

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Showing 2012 · math.APShow all

2 papers · 2 filters

math.AP2012★ 1 cited

$W^{1, q}$ estimates for the extremal solution of reaction-diffusion problems

Manel Sanchon

We establish a new $W^{1, 2 \frac{n - 1}{n - 2}}$ estimate for the extremal solution of $- Δ u = λ f (u)$ in a smooth bounded domain $Ω$ of $R^{n}$ , which is convex, for arbitrary posit…

math.AP2012★ 7 cited

Regularity of stable solutions of $p$ -Laplace equations through geometric Sobolev type inequalities

Daniele Castorina, Manel Sanchon

In this paper we prove a Sobolev and a Morrey type inequality involving the mean curvature and the tangential gradient with respect to the level sets of the function that appears i…

W1,q estimates for the extremal solution of reaction-diffusion problems

Regularity of stable solutions of p-Laplace equations through geometric Sobolev type inequalities

$W^{1, q}$ estimates for the extremal solution of reaction-diffusion problems

Regularity of stable solutions of $p$ -Laplace equations through geometric Sobolev type inequalities