6533b839fe1ef96bd12a6511

RESEARCH PRODUCT

Asymptotic Behaviors of Solutions to quasilinear elliptic Equations with critical Sobolev growth and Hardy potential

Chang-lin Xiang

subject

Pure mathematicsApplied Mathematicsmedia_common.quotation_subjectta111010102 general mathematicsMathematical analysisHardy's inequalitycomparison principleInfinity01 natural sciences010101 applied mathematicsSobolev spaceMathematics - Analysis of PDEs35J60 35B33FOS: Mathematicsquasilinear elliptic equationsasymptotic behaviors0101 mathematicsHardy's inequalityAnalysismedia_commonMathematicsAnalysis of PDEs (math.AP)

description

Abstract Optimal estimates on the asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations − Δ p u − μ | x | p | u | p − 2 u = Q ( x ) | u | N p N − p − 2 u , x ∈ R N , where 1 p N , 0 ≤ μ ( ( N − p ) / p ) p and Q ∈ L ∞ ( R N ) .

yearjournalcountryeditionlanguage
2015-01-01
10.1016/j.jde.2015.05.007http://arxiv.org/abs/1502.03966