Ground state solutions for a quasilinear Schrodinger equation with singular coefficients
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Date
2017-04-27
Authors
Wang, Jixiu
Gao, Qi
Wang, Li
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Quasilinear Schrödinger equations, Critical exponent, Ground state solutions, Calculus of variations
Citation
Wang, 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.
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Attribution 4.0 International
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This work is licensed under a Creative Commons Attribution 4.0 International License.