Nonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy–Leray inequalities

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dc.contributor.authorGoldstein, Gisèle Ruiz
dc.contributor.authorGoldstein, Jerome A.
dc.contributor.authorKömbe, Ismail
dc.contributor.authorTellioğlu, Reyhan
dc.date.accessioned2023-02-10T11:27:17Z
dc.date.available2023-02-10T11:27:17Z
dc.date.issued2022en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe purpose of this paper is twofold. First is the study of the nonexistence of positive solutions of the parabolic problem {?u?t=?pu+V(x)up-1+?uqin?×(0,T),u(x,0)=u0(x)?0in?,|?u|p-2?u??=?|u|p-2uon??×(0,T),where ? is a bounded domain in RN with smooth boundary ??, ?pu= div (| ? u| p-2? u) is the p-Laplacian of u, V?Lloc1(?), ??Lloc1(??), ?? R, the exponents p and q satisfy 1 < p< 2 , and q> 0. Then, we present some sharp Hardy and Leray type inequalities with remainder terms that provide us concrete potentials to use in the partial differential equation we are interested in.en_US
dc.identifier.doi10.1007/s10231-022-01226-6en_US
dc.identifier.endpage2942en_US
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85131330146en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage2927en_US
dc.identifier.urihttps://hdl.handle.net/11467/6203
dc.identifier.urihttps://doi.org/10.1007/s10231-022-01226-6
dc.identifier.volume201en_US
dc.identifier.wosWOS:000805733800001en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute for Ionicsen_US
dc.relation.ispartofAnnali di Matematica Pura ed Applicataen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.subjectCritical exponents; Hardy–Leray type inequalities; Nonexistence; Positive solutions; Robin boundary conditionsen_US
dc.titleNonexistence of positive solutions for nonlinear parabolic Robin problems and Hardy–Leray inequalitiesen_US
dc.typeArticleen_US

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