Article ID Journal Published Year Pages File Type
4620321 Journal of Mathematical Analysis and Applications 2009 12 Pages PDF
Abstract

We study the limit behaviour of a sequence of singular solutions of a nonlinear elliptic equation with a strongly degenerate absorption term at the boundary of the domain. We give sharp conditions on the rate of degeneracy in terms of the distance to the boundary in order the pointwise singularity not to propagate along the boundary.

Related Topics
Physical Sciences and Engineering Mathematics Analysis