TY - JOUR
T1 - Classification of solutions to mixed order system with exponential Hartree nonlinearity and cubic nonlinearity in R3
AU - Dai, Wei
AU - Feng, Zhenping
N1 - Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.
PY - 2025/7
Y1 - 2025/7
N2 - In this paper, we are concerned with the following mixed order conformally invariant system with exponential Hartree nonlinearity and cubic nonlinearity: (Formula presented.) where p>0, u≥0, v may change sign and u satisfies the finite total curvature condition ∫R3u3(x)dx<+∞. Under extremely mild assumptions, we prove that, the classical solution (u, v) must take the unique form: (Formula presented.) for some μ>0 and x0∈R3, where I(1):=π32Γ(12)Γ(2).
AB - In this paper, we are concerned with the following mixed order conformally invariant system with exponential Hartree nonlinearity and cubic nonlinearity: (Formula presented.) where p>0, u≥0, v may change sign and u satisfies the finite total curvature condition ∫R3u3(x)dx<+∞. Under extremely mild assumptions, we prove that, the classical solution (u, v) must take the unique form: (Formula presented.) for some μ>0 and x0∈R3, where I(1):=π32Γ(12)Γ(2).
KW - Classification result
KW - Exponential Hartree nonlinearity and cubic nonlinearity
KW - Mixed order systems
KW - Sharp estimates
KW - The method of moving spheres
UR - https://www.scopus.com/pages/publications/105007802599
U2 - 10.1007/s00030-025-01089-9
DO - 10.1007/s00030-025-01089-9
M3 - 文章
AN - SCOPUS:105007802599
SN - 1021-9722
VL - 32
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 4
M1 - 76
ER -