论文标题
统一的先验估计平面中车道填充系统的正溶液的先验估计
Uniform a priori estimates for positive solutions of the Lane-Emden system in the plane
论文作者
论文摘要
我们证明，只要指数是可比的，就独立于系统中的指数而独立于系统中的指数独立于界限，超线性车道填充系统的正溶液是独立于系统的。结果，溶液的能量是统一的。另外，如果指数不可比较，界限可能会失败。
We prove that positive solutions of the superlinear Lane-Emden system in a two-dimensional smooth bounded domain are bounded independently of the exponents in the system, provided the exponents are comparable. As a consequence, the energy of the solutions is uniformly bounded. In addition, the boundedness may fail if the exponents are not comparable.
