论文标题
狮子类型存在结果的另一个证明
Another proof of a Lions type existence result
论文作者
论文摘要
本文涉及涉及关键Sobolev生长和低阶项的非线性椭圆方程。在狮子的状况下,我们证明了至少一个积极解决方案的存在。我们的方法在于为相关的变异问题构建一个相对紧凑的宫殿 - 男性序列。
This paper concerns a nonlinear elliptic equation involving a critical Sobolev growth and a lower-order term. Under a Lions's condition, we prove the existence of at least one positive solution. Our approach consists in constructing a relatively compact Palais--Smale sequence for the associated variational problem.