A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN

dc.contributor.authorAlves, Claudianor
dc.contributor.authorBertone, Ana Maria
dc.date.accessioned2020-11-18T16:24:53Z
dc.date.available2020-11-18T16:24:53Z
dc.date.issued2003-04-16
dc.description.abstractUsing convex analysis, we establish the existence of at least two nonnegative solutions for the quasilinear problem -Δpu = H(u - α)up*-1 + λh(x) in ℝN where Δpu is the p-Laplacian operator, H is the Heaviside function, p* is the Sobolev critical exponent, and h is a positive function.
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlves, C., & Bertone, A. M. (2003). A discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN. <i>Electronic Journal of Differential Equations, 2003</i>(42), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12940
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.subjectVariational methods
dc.subjectDiscontinuous nonlinearities
dc.subjectCritical exponents
dc.titleA discontinuous problem involving the p-Laplacian operator and critical exponent in ℝN
dc.typeArticle

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