E. Yanagida et S. Yotsutani, A unified approach to the structure of radial solutions for semilinear elliptic problems - Dedicated to the memory of Professor Masaya Yamaguti, JPN J I A M, 18(2), 2001, pp. 503-519
Citations number
23
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS
Radial solutions of semilinear elliptic problems satisfy some boundary valu
e problems for second order differential equations. It is shown that the bo
undary value problems can be reduced to a canonical form after suitable cha
nge of variables. Through the canonical form, we can study the properties o
f radial solutions of semilinear elliptic equations in a systematic way, an
d make clear unknown structure of various equations. We also clarify the im
plication of the Kelvin transformation and the Rellich-Pohozaev identity, a
nd give their generalized forms.