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Diffusion versus absorption in semilinear elliptic equations |
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| Authors: | Andrey Shishkov |
| Affiliation: | a Institute of Applied Mathematics and Mechanics of NAS of Ukraine, R. Luxemburg str. 74, 83114 Donetsk, Ukraine b Laboratoire de Mathématiques et Physique Théorique, CNRS UMR 6083, Université François Rabelais, 37200 Tours, France |
| 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. |
| Keywords: | Energy estimates Saint-Venant principle Strongly degenerate potential |
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