论文标题
涉及局部和非本地运算符差异的关键椭圆问题的多重结果
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
论文作者
论文摘要
我们研究了一些关键的椭圆问题，涉及两个非本地操作员的差异，或者是本地操作员和非局部操作员的差异。主要的结果是存在两个非平凡的弱解，一种具有负能量，另一个具有正能量，对于所有足够小的参数值。该证明是基于最近在[20]中获得的抽象结果。
We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in [20].
