Kumar, D.D.KumarTyagi, J.J.Tyagi2025-08-312025-08-312021-10-0110.1016/j.jmaa.2021.1252452-s2.0-85104586357https://d8.irins.org/handle/IITG2025/25261We establish the existence of a non-trivial weak solution to the following singular quasilinear equation with Hardy potential and singular quadratic gradient term: [Formula presented] where Ω⊂R^N is a smooth bounded domain, μ>0,0∈Ω,N≥3. We show that there exists a solution u∈H<inf>0</inf>¹(Ω) to the above problem. The notable characteristic of this problem is that it includes quadratic gradient nonlinearity and strong singularity.falseGradient nonlinearity | Hardy potential | Nonlinear elliptic equation | Positive solutionArticle109608131 October 20210125245arJournal0