Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities

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dc.contributor.authorAnello, Giovanni
dc.date.accessioned2021-08-23T17:52:53Z
dc.date.available2021-08-23T17:52:53Z
dc.date.issued2021-04-20
dc.description.abstractLet Ω be a bounded smooth domain in ℝN. We study the existence of positive solutions to the Dirichlet problem -Δu = (1 - u)us-1 - λur-1, in Ω, u = 0, on ∂Ω, where 1 < r < s ≤ 2, and λ > 0. In particular, we answer to some questions posed in the recent paper [3] where this problem was considered.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAnello, G. (2021). Positive solutions to a Dirichlet problem with non-Lipschitz nonlinearities. <i>Electronic Journal of Differential Equations, 2021</i>(30), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14427
dc.language.isoen
dc.publisherTexas 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, 2021, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPositive solution
dc.subjectNon-Lipschitz nonlinearity
dc.subjectVariational methods
dc.titlePositive solutions to a Dirichlet problem with non-Lipschitz nonlinearitiesen_US
dc.typeArticle

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