On radial solutions for singular combined superlinear elliptic systems on annular domains

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• 作者：D.D. Hai^a ; ^{dang@math.msstate.edu" class="auth_mail" title="E-mail the corresponding author} ; R. Shivaji^b ; ^{shivaji@uncg.edu" class="auth_mail" title="E-mail the corresponding author}
• 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 system where a>0$a>0$, λ   is a small positive parameter, f_i:(0,∞)→R$f_i:(0,\infty )\to \mathbb{R}$ are continuous and ${\lim }_{z\to \infty }\frac{{\varphi }_1^{-1}(f_1(c({\varphi }_2^{-1}(f_2(z)))}{z}=\infty$ for all c>0$c>0$.