On the p-Laplacian type equation with logarithmic nonlinearity: Existence, decay and blow up

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dc.contributor.authorIrkil, Nazli
dc.date.accessioned2024-04-24T17:18:43Z
dc.date.available2024-04-24T17:18:43Z
dc.date.issued2023
dc.departmentDicle Üniversitesien_US
dc.description.abstractThis work is deal with a problem of wave equation with p-Laplacian, strong damping and logarithmic source terms under initial-boundary conditions. The global existence of weak solution was proved for related to the equation. Global existence results of solutions are obtained using the potential well method, Galerkin method and compactness approach corresponding to the logarithmic source term. Besides, we established the energy functional decaying polynomially to zero as the time goes to infinity due to Nakao's inequality and some precise priori estimates on logarithmic nonlinearity. For suitable conditions we proved the finite time blow up results of solutions. The proof is based on the concavity method, perturbation energy method and differential-integral inequality technique. Additionally, under suitable assumptions on initial data, the infinite time blow up result is investigated with negative initial energy.en_US
dc.identifier.doi10.2298/FIL2316485I
dc.identifier.endpage5507en_US
dc.identifier.issn0354-5180
dc.identifier.issue16en_US
dc.identifier.scopus2-s2.0-85150774110
dc.identifier.scopusqualityQ3
dc.identifier.startpage5485en_US
dc.identifier.urihttps://doi.org/10.2298/FIL2316485I
dc.identifier.urihttps://hdl.handle.net/11468/18883
dc.identifier.volume37en_US
dc.identifier.wosWOS:000953988800001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoenen_US
dc.publisherUniv Nis, Fac Sci Mathen_US
dc.relation.ispartofFilomat
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBlow Upen_US
dc.subjectBoundary Value Problemen_US
dc.subjectGlobal Existenceen_US
dc.subjectPartial Differential Equationen_US
dc.subjectPolynomial Decayen_US
dc.subjectP-Laplacian Equationen_US
dc.subjectLogarithmic Nonlinearityen_US
dc.titleOn the p-Laplacian type equation with logarithmic nonlinearity: Existence, decay and blow upen_US
dc.titleOn the p-Laplacian type equation with logarithmic nonlinearity: Existence, decay and blow up
dc.typeArticleen_US

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