Wu, Yun; Yao, Yangxin; He, Shaotong; Ke, Min The existence of nontrivial solutions of biharmonic equations with Hardy potential. (Chinese. English summary) Zbl 1240.35139 J. Inn. Mong. Norm. Univ., Nat. Sci. 39, No. 4, 360-362 (2010). Summary: The problem of biharmonic equations with Hardy potential \(1/|x|^r(N\geqslant 5)\) is investigated based on an establishment of a new Hilbert space \(H\). Furthermore, the solvability of this problem is proved through a Hardy-Relich inequality. MSC: 35J30 Higher-order elliptic equations 31B30 Biharmonic and polyharmonic equations and functions in higher dimensions Keywords:eigenvalue problem; biharmonic equation; Hardy potential PDFBibTeX XMLCite \textit{Y. Wu} et al., J. Inn. Mong. Norm. Univ., Nat. Sci. 39, No. 4, 360--362 (2010; Zbl 1240.35139)