【摘要】 该文研究了如下Kirchhoff型方程■其中a,b,ρ> 0,λ∈R是与质量约束‖u‖₂²=ρ有关的Lagrange乘子.当p∈（2,（10）/3）或者p∈（（14）/3,6）时,利用亏格理论证明了上述方程L²-正规化解的多重性.此外,该文证明了上述解关于参数b→0⁺时的渐近行为.更多还原

【Abstract】 In this paper,we consider the following Kirchhoff-type equation ■ where a,b,ρ>0 and λ∈R arises as Lagrange multiplier with respect to the mass constraint ‖u‖₂²=ρ.When p∈(2,¹⁰/3) or p∈（（14）/3,6）,we establish the existence of infinitely many radial L²-normalized solutions by using the genus theory.Furthermore,we testify an asymptotic behavior of the above solutions with respect to the parameter b→0⁺.更多还原