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The existence of nontrivial solutions of biharmonic equations with Hardy potential. (Chinese. English summary) Zbl 1240.35139

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
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