arXiv:math/0611123 Abstract

arXiv:math/0611123 [math.AP]Abstract References Reviews Resources

Boundary singularities of positive solutions of some nonlinear elliptic equations

Marie-Francoise Bidaut-Veron, Augusto Ponce, Laurent Veron

Published 2006-11-05, updated 2007-01-23Version 2

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.

Comments: 6 pages

Categories: math.AP, math.CA

Subjects: 35J60

Keywords: nonlinear elliptic equations, positive solution, boundary singularities, half unit sphere, priori estimates

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