TY - JOUR
T1 - Liouville type theorems for Hardy–Hénon equations with concave nonlinearities
AU - Dai, Wei
AU - Qin, Guolin
N1 - Publisher Copyright:
© 2020 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
PY - 2020/6/1
Y1 - 2020/6/1
N2 - In this paper, we are concerned with the Hardy–Hénon equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).
AB - In this paper, we are concerned with the Hardy–Hénon equations (Formula presented.) with (Formula presented.) and (Formula presented.). Inspired by Serrin and Zou [25], we prove Liouville theorems for nonnegative solutions to the above Hardy–Hénon equations (Theorem 1.1 and Theorem 1.3), that is, the unique nonnegative solution is (Formula presented.).
KW - Hardy–Hénon equations
KW - Liouville theorems
KW - bi-harmonic
KW - concave nonlinearity
KW - nonnegative solutions
KW - super-harmonic property
UR - https://www.scopus.com/pages/publications/85083830725
U2 - 10.1002/mana.201800532
DO - 10.1002/mana.201800532
M3 - 文章
AN - SCOPUS:85083830725
SN - 0025-584X
VL - 293
SP - 1084
EP - 1093
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
IS - 6
ER -