Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential

作者：He, Cheng-Jun; Xiang, Chang-Lin^*

来源：Journal of Mathematical Analysis and Applications, 2016, 441(1): 211-234.

DOI：10.1016/j.jmaa.2016.03.082

• Quasilinear elliptic equations
• Hardy's inequality
• Asymptotic behaviors
• Comparison principle

Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations
-Delta(p)u - mu/vertical bar x vertical bar(p)vertical bar u vertical bar(p-2)u + m vertical bar u vertical bar(p-2) u = f(u), x is an element of RN,
where 1 < p < N, 0 <= mu < ((N - p)/p)(p) , m > 0 and f is a continuous function.

• 出版日期2016-9-1
• 单位中国科学院武汉物理与数学研究所