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Original Articles

Structure of positive radial solutions of a quasilinear elliptic problem with singular nonlinearity

Pages 1595-1603 | Received 17 May 2017, Accepted 25 Oct 2017, Published online: 13 Nov 2017
 

ABSTRACT

We study the structure of radial solutions of the quasilinear elliptic problem (Q)

where , , and . It is seen that (Q) admits a global continuum of radial solutions . Moreover, there is such that has infinitely many turning points for and does not admit any turning point for .

AMS Subject Classifications:

Acknowledgements

The author would like to thank professor Zongming Guo of Henan Normal University for much valuable suggestion and discussion on the topic.

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Funding

Research is supported by NSFC [grant number 11771125], [grant number 11371117]; Startup Funding of Henan Normal University [qd14154].

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