刊名:Journal of Mathematical Analysis and Applications
出版年:2017
出版时间:1 February 2017
年:2017
卷:446
期:1
页码:591-604
全文大小:371 K
文摘
In this paper we prove the existence of an infinite number of radial solutions of a3fb78e676f68811b2e1" title="Click to view the MathML source">Δu+K(r)f(u)=0 on the exterior of the ball of radius R centered at the origin in 9e8aadf101da4847ace01df320f3731e" title="Click to view the MathML source">RN such that with prescribed number of zeros where 9b2f03042ad8c49767bc6e64473b" title="Click to view the MathML source">f:R→R is odd and there exists a 964c567" title="Click to view the MathML source">β>0 with e99c7c7284fe8cd409aa19b" title="Click to view the MathML source">f<0 on e9bb7d9588ab7578af89ec4da5" title="Click to view the MathML source">(0,β), f>0 on a30e310b9225d" title="Click to view the MathML source">(β,∞) with f superlinear for large u , and K(r)∼r−α with 9bb2d361fd1b7f16bc10b251c12e8ad0" title="Click to view the MathML source">0<α<N.