On radial solutions for singular combined superlinear elliptic systems on annular domains
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- 作者：D.D. Hai<sup>asup><sup> ; sup><sup>dang@math.msstate.edu" class="auth_mail" title="E-mail the corresponding authorsup> ; R. Shivaji<sup>bsup><sup> ; sup><sup>shivaji@uncg.edu" class="auth_mail" title="E-mail the corresponding authorsup>
- 关键词：Combined superlinear ; Semipositone ; Positive solutions
- 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：335-344
- 全文大小：304 K
文摘
We prove the existence of a large positive solution to the systemv class="formula" id="fm0010">v class="mathml"><span id="mmlsi1" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304796&_mathId=si1.gif&_user=111111111&_pii=S0022247X16304796&_rdoc=1&_issn=0022247X&md5=f1598059531db40950672e4b66fa78fc">![]()
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ss="temp" src="/sd/blank.gif"> v> v> where <span id="mmlsi2" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304796&_mathId=si2.gif&_user=111111111&_pii=S0022247X16304796&_rdoc=1&_issn=0022247X&md5=744649dc525ace58926d7abaac0f25d2" title="Click to view the MathML source">a>0span><span class="mathContainer hidden"><span class="mathCode">span>span>span>, λ is a small positive parameter, <span id="mmlsi18" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304796&_mathId=si18.gif&_user=111111111&_pii=S0022247X16304796&_rdoc=1&_issn=0022247X&md5=a3b1e7173cda256b98d8feb44d61ab70" title="Click to view the MathML source">f<sub>isub>:(0,∞)→Rspan><span class="mathContainer hidden"><span class="mathCode">span>span>span> are continuous and <span id="mmlsi20" class="mathmlsrc">source" class="mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304796&_mathId=si20.gif&_user=111111111&_pii=S0022247X16304796&_rdoc=1&_issn=0022247X&md5=8d386a6b10f1dbc4f6922629adbf12c9">![]()
ss="imgLazyJSB inlineImage" height="25" width="225" alt="View the MathML source" title="View the MathML source" src="/sd/grey_pxl.gif" data-inlimgeid="1-s2.0-S0022247X16304796-si20.gif">script>![]()
style="vertical-align:bottom" width="225" alt="View the MathML source" title="View the MathML source" src="http://origin-ars.els-cdn.com/content/image/1-s2.0-S0022247X16304796-si20.gif"> script><span class="mathContainer hidden"><span class="mathCode">span>span>span> for all <span id="mmlsi5" class="mathmlsrc"><span class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16304796&_mathId=si5.gif&_user=111111111&_pii=S0022247X16304796&_rdoc=1&_issn=0022247X&md5=48e4834ed172b93a3a4d8f2c05b74a98" title="Click to view the MathML source">c>0span><span class="mathContainer hidden"><span class="mathCode">span>span>span>.