一类超线性 p-Kirchhoff 型方程非平凡解的存在性

摘要

Aiming at the existence of nontrivial solutions of a class of p-Kirchhoff type equations, applying the variational method, we obtained the existence of nontrivial weak solutions of the p-Kirchhoff type equation under the condition of nonlinearity being superlinear and subcritical.%考虑有界区域上一类 p-Kirchhoff 型方程非平凡解的存在性，应用变分法在非线性项满足超线性次临界增长条件下得到了 p-Kirchhoff 型方程非平凡弱解的存在性。