Double phase equations with an indefinite concave term

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dc.contributor.authorLiu, Zhenhai
dc.contributor.authorPapageorgiou, Nikolaos S.
dc.date.accessioned2023-04-25T16:50:37Z
dc.date.available2023-04-25T16:50:37Z
dc.date.issued2022-07-28
dc.description.abstractWe consider a Dirichlet problem having a double phase differential operator with unbalanced growth and reaction involving the combined effects of a concave (sublinear) and of a convex (superlinear) terms. We allow the coefficient ℇ ∈ L∞(Ω) of the concave term to be sign changing. We show that when ‖ℇ‖∞ is small the problem has at least two bounded positive solutions. ℇ
dc.description.departmentMathematics
dc.formatText
dc.format.extent10 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, Z., & Papageorgiou, N. S. (2022). Double phase equations with an indefinite concave term. <i>Electronic Journal of Differential Equations, 2022</i>(55), pp. 1-10.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16645
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, 2022, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectUnbalanced growth
dc.subjectGeneralized Orlicz spaces
dc.subjectPositive solution
dc.subjectConcave-convex problem
dc.subjectMountain pass theorem
dc.titleDouble phase equations with an indefinite concave term
dc.typeArticle

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