An existence result for elliptic problems with singular critical growth

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dc.contributor.authorNasri, Yasmina
dc.date.accessioned2021-08-11T19:52:21Z
dc.date.available2021-08-11T19:52:21Z
dc.date.issued2007-06-06
dc.description.abstractWe prove the existence of nontrivial solutions for the singular critical problem -Δu - μ u/|x|2 = λƒ(x)u + u2*-1 with Dirichlet boundary conditions. Here the domain is a smooth bounded subset of ℝN, N ≥ 3, and 2* = 2N/N-2 which is the critical Sobolev exponent.
dc.description.departmentMathematics
dc.formatText
dc.format.extent6 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNasri, Y. (2007). An existence result for elliptic problems with singular critical growth. <i>Electronic Journal of Differential Equations, 2007</i>(84), pp. 1-6.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14279
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, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectPalais-Smale condition
dc.subjectSingular potential
dc.subjectSobolev exponent
dc.subjectMountain-Pass Theorem
dc.titleAn existence result for elliptic problems with singular critical growth
dc.typeArticle

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