【摘要】 研究如下四阶基尔霍夫椭圆型方程■其中Δ2=Δ(Δ)为双调和算子,a,b>0为常数,且势函数■.在合理的假设下,通过使用变分法获得了此方程的基态解和山路解.更多还原

【Abstract】 In this paper,we concern with the following fourth order elliptic equations of Kirchhoff type ■where Δ~2=Δ(Δ)is the bi-harmonic operator,a,b>0 are constants,and ■.Under appropriate assumptions,the existence of mountain-pass solution and a ground state solution is obtained by using the variational methods.更多还原