Multiple solutions for quasilinear elliptic equations with sign-changing potential

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dc.contributor.authorWang, Ruimeng
dc.contributor.authorWang, Kun
dc.contributor.authorTeng, Kaimin
dc.date.accessioned2023-05-25T19:50:55Z
dc.date.available2023-05-25T19:50:55Z
dc.date.issued2016-01-06
dc.description.abstractIn this article, we study the quasilinear elliptic equation -Δpu - (Δpu2)u + V(x)|u|p-2 u = g(x, u), x ∈ ℝN, where the potential V(x) and the nonlinearity g(x, u) are allowed to be sign-changing. Under some suitable assumptions on V and g, we obtain the multiplicity of solutions by using minimax methods.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, R., Wang, K., & Teng, K. (2016). Multiple solutions for quasilinear elliptic equations with sign-changing potential. <i>Electronic Journal of Differential Equations, 2016</i>(10), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16882
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2016, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectQuasilinear Schrödinger equation
dc.subjectSymmetric mountain pass theorem
dc.subjectCerami condition
dc.titleMultiple solutions for quasilinear elliptic equations with sign-changing potential
dc.typeArticle

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