Multiple Positive Solutions for Equations Involving Critical Sobolev Exponent in RN

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dc.contributor.authorAlves, C. O.
dc.date.accessioned2018-08-28T16:21:44Z
dc.date.available2018-08-28T16:21:44Z
dc.date.issued1997-08-19
dc.description.abstractThis article concerns with the problem <pre>−div(|∇u|<sup>m−2</sup> ∇u) = λhu<sup>q</sup> + u<sup>m*−1</sup>, in ℝ<sup>N</sup>.</pre> <p>Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of λ* > 0 such that there are at least two non-negative solutions for each λ in (0, λ*).</p>
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlves, C. O. (1997). Multiple positive solutions for equations involving critical Sobolev exponent in RN. <i>Electronic Journal of Differential Equations, 1997</i>(13), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7637
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.subjectEkeland Variational Principle
dc.titleMultiple Positive Solutions for Equations Involving Critical Sobolev Exponent in RNen_US
dc.typeArticle

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