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Physical Sciences and Engineering Mathematics Analysis

Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential

Article ID Journal Published Year Pages File Type
4614248 Journal of Mathematical Analysis and Applications 2016 24 Pages PDF
Abstract

Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations−Δpu−μ|x|p|u|p−2u+m|u|p−2u=f(u),x∈RN, where 10m>0 and f is a continuous function.

Keywords
Comparison principleAsymptotic behaviorsQuasilinear elliptic equationsHardy's inequality
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential
Authors
Cheng-Jun He, Chang-Lin Xiang,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Comparison principle
Asymptotic behaviors
Quasilinear elliptic equations
Hardy's inequality
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