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arXiv 2015-01-08 0 views

A Note on Asymptotic Behaviors Of Solutions To Quasilinear Elliptic Equations with Hardy Potential

He, Cheng-Jun · Xiang, Chang-Lin

Original · EN

Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations eqnarray* -Δₚu-μ|x|ᵖ|u|ᵖ⁻²u+m|u|ᵖ⁻²u=f(u), & & x∈ⁿ, eqnarray* where 1<p<N,0≤μ<((N-p)/p)ᵖ, m>0 and f is a nonlinear function.

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