Asymptotically linear and superlinear elliptic equations with gradient terms

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dc.contributor.authorWei, Yuanhong
dc.contributor.authorTian, Jian
dc.date.accessioned2021-10-04T20:12:26Z
dc.date.available2021-10-04T20:12:26Z
dc.date.issued2020-09-23
dc.description.abstractIn this article we establish the existence of solutions for elliptic problem involving a gradient term. To handle the so-called non-variational problem, we use a variational methods. We assume that the nonlinear term satisfies an asymptotically linear growth condition or a superlinear growth condition. We show the existence of at least one positive solution and one negative solution.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWei, Y., & Tian, J. (2020). Asymptotically linear and superlinear elliptic equations with gradient terms. <i>Electronic Journal of Differential Equations, 2020</i>(99), pp. 1-14.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14606
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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectPositive solution
dc.subjectNonlinearity
dc.subjectGradient term
dc.subjectIterative method
dc.subjectMountain pass theorem
dc.titleAsymptotically linear and superlinear elliptic equations with gradient termsen_US
dc.typeArticle

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