p-Laplacian equation with finitely many critical nonlinearities

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dc.contributor.authorXia, Pengcheng
dc.contributor.authorSu, Yu
dc.date.accessioned2022-11-04T16:34:59Z
dc.date.available2022-11-04T16:34:59Z
dc.date.issued2021-12-24
dc.description.abstractThis article concerns the ground state solution of the p-Laplacian equation with finitely many critical nonlinearities. By using the refined Sobolev inequality with Morrey norm and variational methods, we establish the existence of nonnegative ground state solution.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXia, P., & Su, Y. (2021). p-Laplacian equation with finitely many critical nonlinearities. Electronic Journal of Differential Equations, 2021(102), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16284
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.subjectp-Laplacian equation
dc.subjectCritical exponent
dc.subjectGround state solution
dc.subjectMountain pass theorem
dc.titlep-Laplacian equation with finitely many critical nonlinearities
dc.typeArticle

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