摘要
We consider the following quasilinear Schrodinger equation involving p-Laplacian-Δpu+V(x)|u|^(p-2)u-Δp(|u|^(2η))|u|^(2η-2)u=λ|u|^(q-2)u/|x|^(μ)+|u|^(2ηp*(v)-2)u/|x|^(v)in R^(N),where N>p>1,η≥p/2(p-1),p<q<2ηp^(*)(μ),p^(*)(s)=(p(N-s))/N-p,andλ,μ,νare parameters withλ>0,μ,ν∈[0,p).Via the Mountain Pass Theorem and the Concentration Compactness Principle,we establish the existence of nontrivial ground state solutions for the above problem.
基金
supported by the National Natural Science Foundation of China (12226411)
the Research Ability Cultivation Fund of HUAS (No.2020kypytd006)
supported by the National Natural Science Foundation of China (11931012,11871386)
the Fundamental Research Funds for the Central Universities (WUT:2020IB019)。
