TY - JOUR
T1 - On weak solutions to a fractional hardy-henon equation
T2 - Part i: nonexistence
AU - Hasegawa, Shoichi
AU - Ikoma, Norihisa
AU - Kawakami, Tatsuki
N1 - Funding Information:
The first author (S.H.) was supported by JSPS KAKENHI Grant Numbers JP 20J01191.The second author (N.I.) was supported by JSPS KAKENHI Grant Numbers JP 17H02851, 19H01797 and 19K03590.The third author (T.K.) was supported by JSPS KAKENHI Grant Numbers JP 19H05599 and 16K17629. ∗ Corresponding author.
Publisher Copyright:
© 2021 American Institute of Mathematical Sciences. All rights reserved.
PY - 2021/4/1
Y1 - 2021/4/1
N2 - This paper and [20] treat the existence and nonexistence of stable (resp. outside stable) weak solutions to a fractional Hardy-Henon equation (-Δ)su = jxj'jujp-1u in RN, where 0 < s < 1, ' > -2s, p > 1, N ≥ 1 and N > 2s. In this paper, the nonexistence part is proved for the Joseph-Lundgren subcritical case.
AB - This paper and [20] treat the existence and nonexistence of stable (resp. outside stable) weak solutions to a fractional Hardy-Henon equation (-Δ)su = jxj'jujp-1u in RN, where 0 < s < 1, ' > -2s, p > 1, N ≥ 1 and N > 2s. In this paper, the nonexistence part is proved for the Joseph-Lundgren subcritical case.
KW - Fractional Hardy-Henon equation
KW - Liouville type theorem
KW - Stable (stable outside a compact set) solutions
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U2 - 10.3934/cpaa.2021033
DO - 10.3934/cpaa.2021033
M3 - Article
AN - SCOPUS:85105375317
SN - 1534-0392
VL - 20
SP - 1559
EP - 1600
JO - Communications on Pure and Applied Analysis
JF - Communications on Pure and Applied Analysis
IS - 4
ER -