Existence of solutions for a problem with multiple singular weighted p-Laplacians and vanishing potentials

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dc.contributor.authorAlves, Maria Jose
dc.contributor.authorAssuncao, Ronaldo B.
dc.date.accessioned2023-04-18T14:30:08Z
dc.date.available2023-04-18T14:30:08Z
dc.date.issued2022-06-30
dc.description.abstractThis work establishes the existence of positive solutions to a quasilinear singular elliptic equations involving the (p-q)-Laplacian operator with singularities and a vanishing potential. We adapt the penalization method developed by del Pino and Felmer and we consider an auxiliary problem whose corresponding functional satisfies the geometry of the mountain-pass theorem; then, we prove that the Palais-Smale sequences are bounded in a Sobolev space; after that, we show that the auxiliary problem has a solution. Finally, we use the Moser iteration scheme to obtain an appropriate estimate and we conclude that the solution to the auxiliary problem is also a solution to the original problem.
dc.description.departmentMathematics
dc.formatText
dc.format.extent25 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlves, M. J., & Assunção, R. B. (2022). Existence of solutions for a problem with multiple singular weighted p-Laplacians and vanishing potentials. <i>Electronic Journal of Differential Equations, 2022</i>(43), pp. 1-25.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16602
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.subjectQuasilinear elliptic equations with singularities
dc.subject(p-q)-Laplacian
dc.subjectVariational methods
dc.subjectSingular elliptic equation
dc.subjectVanishing potential
dc.subjectPenalization method
dc.subjectMoser iteration scheme
dc.titleExistence of solutions for a problem with multiple singular weighted p-Laplacians and vanishing potentials
dc.typeArticle

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