Boundary singularities of positive solutions of some nonlinear elliptic equations

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We study the behaviour near a boundary point a of any positive solution of a nonlinear elliptic equations with forcing term which vanishes on the boundary except at a. Our results are based upon a priori estimates for solutions and existence or non existence and uniqueness results for solutions of some nonlinear elliptic equations on the half unit sphere.
6 pages

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Analysis of PDEs, Classical Analysis and ODEs, 35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/122403

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611123
 http://arxiv.org/abs/math/0611123

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arXiv