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 exists such that , where is the smallest root of the equation . This result accurately depicts the asymptotic characteristics of positive weak solutions of the equation near zero. Compared with previous relevant studies which only indicate that the solutions are bounded near zero, this study further clarifies the limiting situation of the solutions.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