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In this paper, we prove that the following (p1,p2,…,pn) $(p_{1},p_{2},\ldots,p_{n})$-Laplacian elliptic system with a nonsmooth potential has at least three weak solutions: {−Δp1u1+b1(x)|u1|p1−2u1∈λ∂u1F(x,u1,…,un)in Ω,⋯−Δpnun+bn(x)|un|pn−2un∈λ∂unF(x,u1,…,un)in Ω,ui=0for 1≤i≤n on ∂Ω. $$\begin{aligned} \textstyle\begin{cases} -\Delta _{p_{1}}u_{1}+b_{1}(x) \vert u_{1} \vert ^{p_{1}-2}u_{1}\in \lambda...
In the present paper, a class of fourth-order nonlinear difference equations with Dirichlet boundary conditions or periodic boundary conditions are considered. Based on the invariant sets of descending flow in combination with the mountain pass lemma, we establish a series of sufficient conditions on the existence of multiple solutions for these boundary value problems. In addition, some examples...
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