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arXiv 2006-11-05 0 views

Boundary singularities of positive solutions of some nonlinear elliptic equations

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

Original · EN

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.

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