一类退化椭圆方程在高阶特征值处近共振的多重解

Multiple Solutions for Degenerate Elliptic Equations Near Resonance at Higher Eigenvalues

通过对一类退化椭圆方程的研究,利用临界点理论中的极小极大原理和一个广义的Landesman-Lazer类型条件,获得了退化椭圆方程在高阶特征值处近共振的多重解。

A class of degenerate elliptic equations is studied.By using the minimax methods in critical point theory and a generalized Landesman-Lazer type condition,multiple solutions are obtained for a class of degenerate elliptic equations near resonance at higher eigenvalues.