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The author of this paper studies the existence of local minimum point of functional φ in the first, and then the existence of homoclinic solutions to a p-Laplacian system ddt[|u′(t)|p−2u′(t)]=∇F(t,u(t))+f(t) is investigated. Under local condition F(t,x)≥F(t,0)+b0|x|μ for all (t,x)∈R×Rn with |x|≤ρ, where b0>0,ρ>0 and μ>1 are constants, some new results are obtained.
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