Boundary Behavior and Estimates for Solutions of Equations Containing the p-Laplacian

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dc.contributor.authorFleckinger, Jacqueline
dc.contributor.authorHarrell, Evans
dc.contributor.authorde Thelin, Francois
dc.date.accessioned2019-11-21T18:42:03Z
dc.date.available2019-11-21T18:42:03Z
dc.date.issued1999-09-28
dc.description.abstractWe use ``Hardy-type'' inequalities to derive Lq estimates for solutions of equations containing the p-Laplacian with p > 1. We begin by deriving some inequalities using elementary ideas from an early article [B3] which has been largely overlooked. Then we derive Lq estimates of the boundary behavior of test functions of finite energy, and consequently of principal (positive) eigenfunctions of functionals containing the p-Laplacian. The estimates contain exponents known to be sharp when p = 2. These lead to estimates of the effect of boundary perturbation on the fundamental eigenvalue. Finally, we present global Lq estimates of solutions of the Cauchy problem for some initial-value problems containing the p-Laplacian.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFleckinger, J., Harrell, E. M., Thelin, F. D. (1999). Boundary behavior and estimates for solutions of equations containing the p-Laplacian. Electronic Journal of Differential Equations, 1999(38), pp. 1-20.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/8855
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, 1999, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectp-Laplacian
dc.subjectHardy inequality
dc.subjectprincipal eigenvalue
dc.subjectboundary estimate
dc.subjectboundary perturbation
dc.titleBoundary Behavior and Estimates for Solutions of Equations Containing the p-Laplacian
dc.typeArticle

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