On Elliptic Equations in RN with Critical Exponents

dc.contributor.authorAlves, C. O.
dc.contributor.authorGoncalves, J. V.
dc.contributor.authorMiyagaki, Olimpio H.
dc.date.accessioned2018-08-24T19:56:04Z
dc.date.available2018-08-24T19:56:04Z
dc.date.issued1996-10-22
dc.description.abstractIn this note we use variational arguments –namely Ekeland’s Principle and the Mountain Pass Theorem– to study the equation −∆u + α(x)u = λuq + u2*−1 in ℝN. The main concern is overcoming compactness difficulties due both to the unboundedness of the domain ℝN, and the presence of the critical exponent 2* = 2N / (N − 2).
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlves, C. O., Goncalves, J. V., & Miyagaki, O. H. (1996). On elliptical equations in RN with critical exponents. <i>Electronic Journal of Differential Equations, 1996</i>(09), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7609
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, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectElliptic equations
dc.subjectUnbounded domains
dc.subjectCritical exponents
dc.subjectVariational methods
dc.titleOn Elliptic Equations in RN with Critical Exponents
dc.typeArticle

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