Boundary singularities of positive solutions of some nonlinear elliptic equations

Details Boundary singularities of positive solutions of some nonlinear elliptic equations Boundary singularities of positive solutions of some nonlinear elliptic equations

2006-11-05

arxiv.org/abs/math/0611123v2

Mathematics

Analysis of PDEs

6 pages

Scientific paper

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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