带次线性项的多调和方程的多重解

Multiple solutions of polyharmonic equation with sublinear term

用变分方法和Ambrosetti等人的平移思想证明对适当的次性线摄动,(-△)ku=|u|k*-2u+λf(x)|u|q-1u,x∈Ω有两个非平凡的非负解.

Using variational method and translation idea of Ambrosetti et al, we prove that for suitale sublinear perturbation,（-△）^ku=｜u｜^k＊-2u＋λf（x）｜u｜^q-1u,x∈Ω has two nontrivial nonnegative solutions.