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The existence of nontrivial solution for a class of sublinear biharmonic equations with steep potential well
2018
Boundary Value Problems
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In this paper, we study the following biharmonic equation: where 2 u = ( u), N > 4, λ > 0, 1 < q < 2 and μ ∈ [0, μ 0 ]. By using Ekeland's variational principle and Gigliardo-Nirenberg's inequality, we prove the existence of nontrivial solution for the above problem.
doi:10.1186/s13661-018-0949-3
fatcat:ihyqkdtah5e5nnz5l3o5b664r4