TY - JOUR
T1 - Uniqueness of positive radial solutions of superlinear elliptic equations in annuli
AU - Shioji, Naoki
AU - Tanaka, Satoshi
AU - Watanabe, Kohtaro
N1 - Funding Information:
This work was supported by JSPS KAKENHI Grant Number 26400160.This work was supported by JSPS KAKENHI Grant Numbers 26400182, 19K03595, 17H01095.This work was supported by JSPS KAKENHI Grant Number 18K03387.This work was supported by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University.
Publisher Copyright:
© 2021 Elsevier Inc.
PY - 2021/5/25
Y1 - 2021/5/25
N2 - We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of {Δu(x)+f(u(x))=0in Aa,b,u(x)=0on ∂Aa,b, where n∈N with n≥2, 0a,b={x∈RN:a<|x|1[0,∞) is a superlinear function.
AB - We present a generalized comparison identity for a two point boundary value problem, and we apply it to show the uniqueness of positive radial solutions of {Δu(x)+f(u(x))=0in Aa,b,u(x)=0on ∂Aa,b, where n∈N with n≥2, 0a,b={x∈RN:a<|x|1[0,∞) is a superlinear function.
KW - Positive radial solutions
KW - Semilinear elliptic equations
KW - Two point boundary value problems
KW - Uniqueness
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U2 - 10.1016/j.jde.2021.02.047
DO - 10.1016/j.jde.2021.02.047
M3 - Article
AN - SCOPUS:85102109393
SN - 0022-0396
VL - 284
SP - 522
EP - 545
JO - Journal of Differential Equations
JF - Journal of Differential Equations
ER -