Acta mathematica scientia, Series B >
GRADIENT ESTIMATES FOR SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV GROWTH AND HARDY POTENTIAL
Received date: 2015-11-30
Online published: 2017-02-25
Supported by
The author is financially supported by the Academy of Finland, project 259224.
This note is a continuation of the work[17]. We study the following quasilinear elliptic equations
-△pu-(μ)/(|x|p)|u|p-2u=Q(x)|u|(Np)/(N-p)-2u, x∈RN,
where 1 < p < N, 0≤μ < ((N-p)/p)p and Q∈L∞(RN). Optimal asymptotic estimates on the gradient of solutions are obtained both at the origin and at the infinity.
Changlin XIANG . GRADIENT ESTIMATES FOR SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS WITH CRITICAL SOBOLEV GROWTH AND HARDY POTENTIAL[J]. Acta mathematica scientia, Series B, 2017 , 37(1) : 58 -68 . DOI: 10.1016/S0252-9602(16)30115-1
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