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A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations With Inverse Square Potentials (Memoirs of the American Mathematical Society) - Softcover
Synopsis
In this paper, the author considers semilinear elliptic equations of the form $-Delta u- fraclambdax2u +b(x),h(u)=0$ in $Omegasetminus0$, where $lambda$ is a parameter with $-infty0$. The author completely classifies the behaviour near zero of all positive solutions of equation (0.1) when $h$ is regularly varying at $infty$ with index $q$ greater than $1$ (that is, $limtto infty h(xi t)/h(t)=xiq$ for every $xi0$). In particular, the author's results apply to equation (0.1) with $h(t)=tq (log t)alpha1$ as $tto infty$ and $b(x)=xtheta (-log x)alpha2$ as $xto 0$, where $alpha1$ and $alpha2$ are any real numbers.
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About the Author
Florica C. Cirstea, University of Sydney, Australia
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A complete classification of the isolated singularities for nonlinear elliptic equations with inverse square potentials. Memoirs of the American Mathematical Society; volume 227 (4th of 4 numbers) = number 1068.
Published by
Providence, American Mathematical Society, 2014
ISBN 10: 0821890220
ISBN 13: 9780821890226
Used
Softcover
Seller: Antiquariat Bookfarm, Löbnitz, Germany
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Softcover. Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00025 9780821890226 Sprache: Englisch Gewicht in Gramm: 350. Seller Inventory # 2482524
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