Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential

dc.contributor.authorMarano, Salvatore
dc.contributor.authorPapageorgiou, Nikolaos S.
dc.date.accessioned2022-02-14T20:06:07Z
dc.date.available2022-02-14T20:06:07Z
dc.date.issued2018-06-18
dc.description.abstractFour nontrivial smooth solutions to a Robin boundary-value problem with p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear at infinity are obtained, all with sign information. The semilinear case is also investigated, producing a nonzero fifth solution. Our proofs use variational methods, truncation techniques, and Morse theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMarano, S. A., & Papageorgiou, N. S. (2018). Asymmetric Robin boundary-value problems with p-Laplacian and indefinite potential. <i>Electronic Journal of Differential Equations, 2018</i>(127), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15327
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectRobin boundary condition
dc.subjectp-Laplacian
dc.subjectIndefinite potential
dc.subjectAsymmetric reaction
dc.subjectSuperlinear at infinity
dc.subjectResonance
dc.subjectMultiple solutions
dc.titleAsymmetric Robin boundary-value problems with p-Laplacian and indefinite potential
dc.typeArticle

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