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Very singular solutions to a nonlinear parabolic equation with absorption. I. Existence

Published online by Cambridge University Press:  11 July 2007

Said Benachour
Affiliation:
Institut Elie Cartan-Nancy, Université de Nancy I, BP 239, F-54506 Vandœuvre les Nancy cedex, France ([email protected])
Philippe Laurençot
Affiliation:
CNRS & Institut Elie Cartan-Nancy, Université de Nancy I, BP 239, F-54506 Vandœuvre les Nancy cedex, France ([email protected])

Abstract

We prove the existence of a very singular solution to when 1 < p < (N + 2)/(N + 1).

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 2001

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