Multiple solutions for the p-Laplace equation with nonlinear boundary conditions

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dc.contributor.authorFernandez Bonder, Julian
dc.date.accessioned2021-07-15T20:39:49Z
dc.date.available2021-07-15T20:39:49Z
dc.date.issued2006-03-21
dc.description.abstractIn this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2 u = ƒ(x, u) in a smooth bounded domain Ω of ℝN with nonlinear boundary conditions |∇u|p-2 ∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments.
dc.description.departmentMathematics
dc.formatText
dc.format.extent7 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFernández Bonder, J. (2006). Multiple solutions for the p-Laplace equation with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2006</i>(37), pp. 1-7.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13910
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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectp-Laplace equations
dc.subjectNonlinear boundary conditions
dc.subjectVariational methods
dc.titleMultiple solutions for the p-Laplace equation with nonlinear boundary conditionsen_US
dc.typeArticle

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