Elliptic Equations with One-sided Critical Growth

dc.contributor.authorCalanchi, Marta
dc.contributor.authorRuf, Bernhard
dc.date.accessioned2020-08-18T21:51:28Z
dc.date.available2020-08-18T21:51:28Z
dc.date.issued2002-10-18
dc.description.abstractWe consider elliptic equations in bounded domains Ω ⊂ ℝN with nonlinearities which have critical growth at +∞ and linear growth λ at -∞, with λ > λ1, the first eigenvalue of the Laplacian. We prove that such equations have at least two solutions for certain forcing terms provided N ≥ 6. In dimensions N = 3, 4, 5 an additional lower order growth term has to be added to the nonlinearity, similarity as in the famous result of Brezis-Nirenberg for equations with critical growth.
dc.description.departmentMathematics
dc.formatText
dc.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCalanchi, M., & Ruf, B. (2002). Elliptic equations with one-sided critical growth. <i>Electronic Journal of Differential Equations, 2002</i>(89), pp. 1-21.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/12422
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, 2002, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectNonlinear elliptic equation
dc.subjectCritical growth
dc.subjectLinking structure
dc.titleElliptic Equations with One-sided Critical Growth
dc.typeArticle

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