关键词: 拟线性方程, 重调和算子, Nehari流形

Abstract: Using the variational method, variable substitution and the Nehari manifold method, we obtained the existence of ground state solution for a class of quasilinear biharmonic equations by constructing the Nehari manifold and proving the properties of manifold when the nonlinearity term satisfied certain growth conditions.

Key words: quasilinear equation, biharmonic operator, Nehari manifold