Solutions to Perturbed Eigenvalue Problems of the p-Laplacian in R(N)

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dc.contributor.authordo O, Joao Marcos
dc.date.accessioned2018-11-04T20:54:16Z
dc.date.available2018-11-04T20:54:16Z
dc.date.issued1997-07-15
dc.description.abstractUsing a variational approach, we investigate the existence of solutions for non-autonomous perturbations of the p-Laplacian eigenvalue problem -Δpu = ƒ(x, u) in ℝN. Under the assumptions that the primitive F(x, u) of ƒ(x, u) interacts only with the first eigenvalue, we look for solutions in the space D1,p (ℝN). Furthermore, we assume a condition that measures how different the behavior of the function F(x, u) is from that of the p-power of u.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMarcos, J. B. (1997). Solutions to perturbed eigenvalue problems of the p-Laplacian in R(N). <i>Electronic Journal of Differential Equations, 1997</i>(11), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7767
dc.language.isoen
dc.publisherSouthwest Texas 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, 1997, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectMountain Pass Theorem
dc.subjectPalais-Smale Condition
dc.subjectFirst eigenvalue
dc.titleSolutions to Perturbed Eigenvalue Problems of the p-Laplacian in R(N)
dc.typeArticle

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