Ground state solutions for a quasilinear Schrodinger equation with singular coefficients

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dc.contributor.authorWang, Jixiu
dc.contributor.authorGao, Qi
dc.contributor.authorWang, Li
dc.date.accessioned2022-04-13T17:03:11Z
dc.date.available2022-04-13T17:03:11Z
dc.date.issued2017-04-27
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15648
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuasilinear Schrödinger equations
dc.subjectCritical exponent
dc.subjectGround state solutions
dc.subjectCalculus of variations
dc.titleGround state solutions for a quasilinear Schrodinger equation with singular coefficients
dc.typeArticle

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