Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance

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dc.contributor.authorMartinez, Sandra
dc.contributor.authorRossi, Julio D.
dc.date.accessioned2020-10-02T19:24:13Z
dc.date.available2020-10-02T19:24:13Z
dc.date.issued2003-03-13
dc.description.abstractWe study the existence of weak solutions to the equation Δpu = |u|p-2u + ƒ(x, u) with the nonlinear boundary condition |∇u|p-2 ∂u/ ∂v = λ|u|p-2 u-h(x, u). We assume Landesman-Lazer type conditions and use variational arguments to prove the existence of solutions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationMartinez, S., & Rossi, J. D. (2003). Weak solutions for the p-Laplacian with a nonlinear boundary condition at resonance. <i>Electronic Journal of Differential Equations, 2003</i>(27), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12693
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2003, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectp-Laplacian
dc.subjectNonlinear boundary conditions
dc.subjectResonance
dc.titleWeak solutions for the p-Laplacian with a nonlinear boundary condition at resonance
dc.typeArticle

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