Radially Symmetric Solutions for a Class of Critical Exponent Elliptic Problems in RN

dc.contributor.authorAlves, C. O.
dc.contributor.authorde Morais Filho, D. C.
dc.contributor.authorSouto, M. A. S.
dc.date.accessioned2018-08-24T18:42:55Z
dc.date.available2018-08-24T18:42:55Z
dc.date.issued1996-08-30
dc.description.abstractWe give a method for obtaining radially symmetric solutions for the critical exponent problem { −∆u + α(x)u = λuq + u2*−1 in ℝN u > 0 and ∫ℝN |∇u|2 < ∞ where, outside a ball centered at the origin, the non-negative function a is bounded from below by a positive constant ao > 0. We remark that, differently from the literature, we do not require any conditions on α at infinity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlves, C. O., de Morais Filho, D. C., & Souto, M. A. S. (1996). Radially symmetric solutions for a class of critical exponent elliptic problems in RN. <i>Electronic Journal of Differential Equations, 1996</i>(07), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7608
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, 1996, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectRadial solutions
dc.subjectCritical Sobolev exponents
dc.subjectPalais-Smale condition
dc.subjectMountain Pass Theorem
dc.titleRadially Symmetric Solutions for a Class of Critical Exponent Elliptic Problems in RN
dc.typeArticle

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