具非光滑位势共振非线性椭圆方程解的存在性

An Existence Result for Nonlinear Elliptic Equation at Resonance with Nonsmooth Potential

研究了一类具非光滑位势和p-Laplacian共振非线性椭圆方程(半变分不等式).通过对非光滑位势作合理假设,利用在非光滑临界点理论上的变分方法,证明了一个非平凡解的存在性定理.

This paper studies a nonlinear elliptic equation at resonance driven by the p-Laplacian with a nonsmooth potential function（hemivariational inequality）, and proves an existence theorem of nontrivial solution by the considerable hypotheses on the nonsmooth potential and variational methods based on the nonsmooth critical point theory.