| On the Existence of Ground State Solutions to a Quasilinear Schr?dinger Equation involving p-Laplacian |
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| 作者姓名： | Ji-xiu WANG Qi GAO |
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| 作者单位： | 1. School of Mathematics and Statistics, Hubei University of Arts and Science;2. Department of Mathematics, School of Science, Wuhan University of Technology |
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| 基金项目： | supported by the National Natural Science Foundation of China (12226411);;supported by the National Natural Science Foundation of China (11931012, 11871386);;the Fundamental Research Funds for the Central Universities (WUT:2020IB019); |
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| 摘 要： | We consider the following quasilinear Schr?dinger equation involving p-Laplacian ■ in RN,where N > p > 1, η ≥p/(2(p-1)), p < q < 2ηp*(μ), p*(s) =(p(N-s))/(N-p), and λ, μ, ν are parameters with λ > 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.
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