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- Lee, Youngae
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Finite Morse Index Solutions of the Fractional Henon-Lane-Emden Equation with Hardy Potential
- Author(s)
- Kim, Soojung, Lee, Youngae
- Issued Date
- 2022-04
- Citation
- TAIWANESE JOURNAL OF MATHEMATICS, v.26, no.2, pp.251 - 283
- Abstract
- In this paper, we study the fractional Henon-Lane-Emden equation associated with Hardy potential (-Delta)(s)u-gamma vertical bar x vertical bar(-2s) u=vertical bar x vertical bar(a)vertical bar u vertical bar(p-1)u in R-n. Extending the celebrated result of [14], we obtain a classification result on finite Morse index solutions to the fractional elliptic equation above with Hardy potential. In particular, a critical exponent p of Joseph-Lundgren type is derived in the supercritical case studying a Liouville type result for the s-harmonic extension problem.
- Publisher
- MATHEMATICAL SOC REP CHINA
- ISSN
- 1027-5487
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