Subcritical perturbations of resonant linear problems with sign-changing potential

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dc.contributor.authorDinu, Teodora-Liliana
dc.date.accessioned2021-06-22T17:28:50Z
dc.date.available2021-06-22T17:28:50Z
dc.date.issued2005-10-24
dc.description.abstractWe establish existence and multiplicity theorems for a Dirichlet boundary-value problem at resonance. This problem is a nonlinear subcritical perturbation of a linear eigenvalue problem studied by Cuesta, and includes a sign-changing potential. We obtain solutions using the Mountain Pass lemma and the Saddle Point theorem. Our paper extends some recent results of Goncalves, Miyagaki, and Ma.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationDinu, T. L. (2005). Subcritical perturbations of resonant linear problems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2005</i>(117), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13789
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectEigenvalue problem
dc.subjectSemilinear elliptic equation
dc.subjectExistence result
dc.subjectCritical points
dc.titleSubcritical perturbations of resonant linear problems with sign-changing potential
dc.typeArticle

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