Florica C. Cirstea | Akateeminen Kirjakauppa

A COMPLETE CLASSIFICATION OF THE ISOLATED SINGULARITIES FOR NONLINEAR ELLIPTIC EQUATIONS WITH INVERSE SQUARE POTENTIALS

Florica C. Cirstea
MP-AMM American Mathematical (2014)
Pehmeäkantinen kirja

83,90 €

A Complete Classification of the Isolated Singularities for Nonlinear Elliptic Equations with Inverse Square Potentials

Florica C. Cirstea

83,90 €

MP-AMM American Mathematical
Sivumäärä: 86 sivua
Asu: Pehmeäkantinen kirja
Julkaisuvuosi: 2014, 30.01.2014 (lisätietoa)
Kieli: Englanti

In this paper, the author considers semilinear elliptic equations of the form $-Delta u- frac{lambda}{|x|^2}u +b(x),h(u)=0$ in $Omegasetminus{0}$, 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, $lim_{tto infty} h(xi t)/h(t)=xi^q$ for every $xi>0$). In particular, the author's results apply to equation (0.1) with $h(t)=t^q (log t)^{alpha_1}$ as $tto infty$ and $b(x)=|x|^theta (-log |x|)^{alpha_2}$ as $|x|to 0$, where $alpha_1$ and $alpha_2$ are any real numbers.

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