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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

 
9780821890226: A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations With Inverse Square Potentials (Memoirs of the American Mathematical Society)

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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Florica C. Cirstea, University of Sydney, Australia

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Cirstea, Florica C.
ISBN 10: 0821890220 ISBN 13: 9780821890226
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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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