TY - JOUR
T1 - Topological degree for solutions of fourth order mean field equations
AU - Lin, Changshou
AU - Wei, Juncheng
AU - Wang, Liping
PY - 2011/8
Y1 - 2011/8
N2 - We consider the following fourth order mean field equation with Navier boundary condition, where h is a C2,β positive function, Ω is a bounded and smooth domain in ℝ4. We prove that for p ε (32mσ3, 32(m+1)σ3) the degree-counting formula for (*) is given by, where χ(Ω) is the Euler characteristic of Ω. Similar result is also proved for the corresponding Dirichlet problem,.
AB - We consider the following fourth order mean field equation with Navier boundary condition, where h is a C2,β positive function, Ω is a bounded and smooth domain in ℝ4. We prove that for p ε (32mσ3, 32(m+1)σ3) the degree-counting formula for (*) is given by, where χ(Ω) is the Euler characteristic of Ω. Similar result is also proved for the corresponding Dirichlet problem,.
UR - https://www.scopus.com/pages/publications/79960124889
U2 - 10.1007/s00209-010-0690-9
DO - 10.1007/s00209-010-0690-9
M3 - 文章
AN - SCOPUS:79960124889
SN - 0025-5874
VL - 268
SP - 675
EP - 705
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
IS - 3-4
ER -