# Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations

Abstract : We study the boundary behaviour of the solutions of (E) $\;-\Gd_p u+|\nabla u|^q=0$ in a domain $\Gw \sbs \BBR^N$, when $N\geq p> q>p-1$. We show the existence of a critical exponent \$q_*
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https://hal.archives-ouvertes.fr/hal-01095162
Contributor : Laurent Veron <>
Submitted on : Thursday, February 12, 2015 - 11:24:56 AM
Last modification on : Tuesday, August 13, 2019 - 2:30:11 PM
Document(s) archivé(s) le : Wednesday, May 13, 2015 - 10:16:16 AM

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### Identifiers

• HAL Id : hal-01095162, version 2
• ARXIV : 1412.4613

### Citation

Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Véron. Boundary singularities of positive solutions of quasilinear Hamilton-Jacobi equations. 2015. ⟨hal-01095162v2⟩

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