A Liouville-type theorem in a half-space and its applications to the gradient blow-up behavior for superquadratic diffusive Hamilton-Jacobi equations

Filippucci, R; Pucci, P; Souplet, P

Souplet, P (reprint author), Univ Paris 13, Sorbonne Paris Cite, CNRS UMR 7539, Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, France.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 0; ():

Abstract

We consider the elliptic and parabolic superquadratic diffusive Hamilton-Jacobi equations: and with p > 2 and homogeneous Dirichlet conditions. For......

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