Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential

@article{Xiang2015AsymptoticBO,
  title={Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential},
  author={Chang-Lin Xiang},
  journal={Journal of Differential Equations},
  year={2015},
  volume={259},
  pages={3929-3954}
}
  • Chang-Lin Xiang
  • Published 2015
  • Mathematics
  • Journal of Differential Equations
  • 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 ) . 
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    References

    SHOWING 1-10 OF 44 REFERENCES
    Asymptotic behavior of solutions to semilinear elliptic equations with Hardy potential
    • 20
    • Highly Influential
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