论文标题
圆柱体上某些非线性椭圆方程的阳性溶液的渐近行为
Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders
论文作者
论文摘要
我们在末端的半缸上建立了非线性椭圆方程家族的阳性溶液的定量渐近行为。这统一了对某些半线性椭圆方程的孤立奇异性的研究,例如Yamabe方程,Hardy-Hénon方程等。
We establish quantitative asymptotic behavior of positive solutions of a family of nonlinear elliptic equations on the half cylinder near the end. This unifies the study of isolated singularities of some semilinear elliptic equations, such as the Yamabe equation, Hardy-Hénon equation etc.