Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems
Henrik Egnell (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Blow-up solutions of some nonlinear elliptic problems.”
Extremal properties of the first eigenvalue of a class of elliptic eigenvalue problems
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Siegfried Helbig (1988)
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Uniqueness of very singular self-similar solution of a quasilinear degenerate parabolic equation with absorption.
Jesús Ildefonso Díaz, José Evaristo Saa (1992)
Publicacions Matemàtiques
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We show the uniqueness of the very singular self-similar solution of the equation ut - Δ pum + uq = 0. The result is carried out by studying the stationary associate equation and by introducing a suitable change of unknown. That allows to assume the zero-order perturbation term in the new equation to be monotone increasing. A careful study of the behaviour...