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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Henrik Egnell (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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J. Śladkowska (1983)
Annales Polonici Mathematici
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J. Zamorski (1958-1959)
Annales Polonici Mathematici
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S. Kołodziej (1989)
Annales Polonici Mathematici
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Rodrigo Arocena (1981)
Studia Mathematica
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E. T. Davies (1972)
Colloquium Mathematicae
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Siegfried Helbig (1988)
Commentationes Mathematicae Universitatis Carolinae
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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...
Marta Ferreira (2015)
Discussiones Mathematicae Probability and Statistics
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The extremal index Θ is an important parameter in extreme value analysis when extending results from independent and identically distributed sequences to stationary ones. A connection between the extremal index and the tail dependence coefficient allows the introduction of new estimators. The proposed ones are easy to compute and we analyze their performance through a simulation study. Comparisons with other existing methods are also presented. Case studies within environment are considered...