Abstract
In this paper, a biharmonic equation is investigated, which involves multiple Rellich-type potentials and a critical Sobolev exponent. By using variational methods and analytical techniques, the existence and multiplicity of nontrivial solutions to the equation are established.
Highlights
1 Introduction In this paper, we study the following biharmonic equation:
The biharmonic problems involving a Rellich-type potential and a critical Sobolev exponent have seldom been studied; we only find some results in [10, 18, 19]
We study a biharmonic equation involving multiple Rellich-type potentials and a critical Sobolev exponent
Summary
Hsu and Zhang [16] studied the existence and multiplicity of nontrivial solution for the following equation: Theorem 1.1 Let N ≥ 5, 1 ≤ q < 2 and assume that (H) holds, we have the following results. Proof Arguing by contradiction, we assume that there exists a λ ∈ (0, Λ0) such that M0λ = ∅.
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