Abstract
We establish that if $n\geq3$ and $p>1$ are large enough, then for each $\alpha>0$ the elliptic equation $\Delta u+\frac12x\cdot\nabla u+\frac m2u+|x|^lu^p=0$ in $\bf R^n$ with $l>-2$ and $m=\frac{l+2}{p-1}$ possesses a positive radial solution $u_\alpha$ with $u_\alpha(0)=\alpha$ such that (i) $u_\beta>u_\alpha$ for $\beta>\alpha>0$; (ii) for every $\alpha>0$, $r^mu_\alpha(r)\rightarrow \ell$ as $r\rightarrow\infty$ for some $0<\ell=\ell(\alpha)
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
