Diffusion versus absorption in semilinear elliptic equations

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 level of degeneracy in order the pointwise singularity not to propagate along the boundary.
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Contributor : Laurent Veron <>
Submitted on : Tuesday, May 27, 2008 - 4:04:41 PM
Last modification on : Thursday, May 2, 2019 - 4:50:08 PM
Long-term archiving on : Friday, May 28, 2010 - 8:22:11 PM

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Andrey Shishkov, Laurent Veron. Diffusion versus absorption in semilinear elliptic equations. Journal of Mathematical Analysis and Applications, Elsevier, 2009, 352, pp.206-217. ⟨hal-00282483⟩

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