Wang, JixiuGao, QiWang, Li2022-04-132022-04-132017-04-27Wang, J., Gao, Q., & Wang, L. (2017). Ground state solutions for a quasilinear Schrodinger equation with singular coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(114), pp. 1-15.1072-6691https://hdl.handle.net/10877/15648In this article, we study the quasilinear Schrodinger equation with the critical exponent and singular coefficients, -∆u + V(x)u - ∆(|u|2)u = λ |u|q-2u / |x|μ + |u|22*(v)-2u / |x|v in ℝN, where N ≥ 3, 2 < q < 22*(μ), 2*(s) = 2<N-s) / N-2, and λ, μ, v are parameters with λ > 0, μ, v ∈ [0, 2). By applying the Mountain Pass Theorem and the Concentration Compactness Principle, we establish the existence of the ground state solutions to the above problem.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear Schrödinger equationsCritical exponentGround state solutionsCalculus of variationsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.