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Titolo: On the blowup and positive entire solutions of semilinear elliptic equations
Autore: Chern, JL;
 Indirizzi:
 Natl Cent Univ, Dept Math, Chungli 320, Taiwan Natl Cent Univ Chungli Taiwan 320 t Univ, Dept Math, Chungli 320, Taiwan
 Titolo Testata:
 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY
,
volume: 43,
anno: 2000,
parte:, 3
pagine: 625  631
 SICI:
 00130915(200010)43:<625:OTBAPE>2.0.ZU;2H
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 R(N);
 Keywords:
 semilinear elliptic equations; blowup; entire solutions;
 Tipo documento:
 Article
 Natura:
 Periodico
 Settore Disciplinare:
 Physical, Chemical & Earth Sciences
 Citazioni:
 13
 Recensione:
 Indirizzi per estratti:
 Indirizzo: Chern, JL Natl Cent Univ, Dept Math, Chungli 320, Taiwan Natl Cent Univ Chungli Taiwan 320 pt Math, Chungli 320, Taiwan



 Citazione:
 J.L. Chern, "On the blowup and positive entire solutions of semilinear elliptic equations", P EDIN MATH, 43, 2000, pp. 625631
Abstract
In this paper we consider the following similinear elliptic equation[GRAPHICS]where n greater than or equal to 3, Delta = Sigma (n)(i1) (partial derivative (2)/partial derivativex(i)(2)), and beta greater than or equal to 0, gamma greater than or equal to 0, q > p greater than or equal to 1, mu and nu are real constants. We note that if gamma = 0, beta > 0 and mu greater than or equal to 2, then the equation above is called the Matukumatype equation. If beta = 0, gamma > 0 and nu > 2, then the complete classification ofall possible positive solutions had been conducted by Cheng and Ni. If beta > 0, gamma > 0 and mu greater than or equal to nu > 2, then some results about the maximal solution and positive solution structures can be found inChern. The purpose of this paper is to discuss and investigate the blowupand positive entire solutions of the equation above for the mu greater than or equal to 2 greater than or equal to nu case.
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Documento generato il 11/07/20 alle ore 17:40:43