A Liouville-type theorem and the decay o
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Peter Polรกฤik; Pavol Quittner
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Article
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2006
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Elsevier Science
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English
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We consider the semilinear parabolic equation u t = u + u p on R N , where the power nonlinearity is subcritical. We first address the question of existence of entire solutions, that is, solutions defined for all x โ R N and t โ R. Our main result asserts that there are no positive radially symmetri