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 class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si1.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=4df44eea5500a3fb78e676f68811b2e1" title="Click to view the MathML source">Δu+K(r)f(u)=0class="mathContainer hidden">class="mathCode"> on the exterior of the ball of radius R centered at the origin in class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si2.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=9e8aadf101da4847ace01df320f3731e" title="Click to view the MathML source">RNclass="mathContainer hidden">class="mathCode"> such that class="mathmlsrc">title="View the MathML source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si3.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=f7f3751aefa14335daabd238d13c4aec">class="imgLazyJSB inlineImage" height="22" width="95" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0022247X16304954-si3.gif">class="mathContainer hidden">class="mathCode"> with prescribed number of zeros where class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si4.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=ef9d9b2f03042ad8c49767bc6e64473b" title="Click to view the MathML source">f:R→Rclass="mathContainer hidden">class="mathCode"> is odd and there exists a class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si5.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=177c3d829046d3a6603666c53964c567" title="Click to view the MathML source">β>0class="mathContainer hidden">class="mathCode"> with class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si6.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=5fdaef43fe99c7c7284fe8cd409aa19b" title="Click to view the MathML source">f<0class="mathContainer hidden">class="mathCode"> on class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si7.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=4c4776e9bb7d9588ab7578af89ec4da5" title="Click to view the MathML source">(0,β)class="mathContainer hidden">class="mathCode">, class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si8.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=76fee739318e67a493cf1197d807c986" title="Click to view the MathML source">f>0class="mathContainer hidden">class="mathCode"> on class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si9.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=de60e152b9087654428a30e310b9225d" title="Click to view the MathML source">(β,∞)class="mathContainer hidden">class="mathCode"> with f superlinear for large u , and class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si10.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=206e25ed3fa52672e71f067b78d4808c" title="Click to view the MathML source">K(r)∼r−αclass="mathContainer hidden">class="mathCode"> with class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304954&_mathId=si11.gif&_user=111111111&_pii=S0022247X16304954&_rdoc=1&_issn=0022247X&md5=9bb2d361fd1b7f16bc10b251c12e8ad0" title="Click to view the MathML source">0<α<Nclass="mathContainer hidden">class="mathCode">.