Pure and Applied Mathematics Journal

Volume 14, Issue 3, June 2025

  • Research Article

    The Asymptotic Behavior of Solutions to Quasilinear Elliptic Equation with Hardy Potential and Sobolev Critical Exponent Near Zero

    Shu Tian*

    Issue: Volume 14, Issue 3, June 2025
    Pages: 29-33
    Received: 27 April 2025
    Accepted: 28 May 2025
    Published: 13 June 2025
    DOI: 10.11648/j.pamj.20251403.11
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    Abstract: This paper mainly explores the precise asymptotic behavior near zero of positive weak solutions to the quasilinear elliptic equation involving Hardy potential and Sobolev critical exponent, which is expressed as under the conditions that , , , , and . The research shows that if is a positive radial weak solution of this equation, then there exist... Show More