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W01,1 -solutions for elliptic problems having gradient quadratic lower order terms

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dc.contributor.authorDavid, Arcoya
dc.contributor.authorBoccardo, Lucio
dc.contributor.authorLeonori, Tommaso
dc.contributor.orcidhttps://orcid.org/0000-0002-7284-2413
dc.contributor.orcidhttps://orcid.org/0000-0002-8067-0121
dc.contributor.orcidhttps://orcid.org/0000-0002-0848-4463
dc.date.accessioned2024-11-21T08:09:44Z
dc.date.available2024-11-21T08:09:44Z
dc.date.issued2013-04-10
dc.description.abstractIn this paper we deal with solutions of problems of the type (Formula presented). where 0 < α ≤ a(x) ≤ β, {pipe}b(x){pipe} ≤ γ, γ > 0, f ∈ L2 (Ω) and Ω is a bounded subset of ℝN with N ≥ 3. We prove the existence of at least one solution for such a problem in the space W01,1 (Ω) ∩ L2 (Ω) if the size of the lower order term satisfies a smallness condition when compared with the principal part of the operator. This kind of problems naturally appears when one looks for positive minima of a functional whose model is: (Formula presented). where in this case a(x) ≡ b(x) = α > 0.en
dc.description.versionversión final
dc.identifier.citationArcoya, D., Boccardo, L. & Leonori, T. -solutions for elliptic problems having gradient quadratic lower order terms. Nonlinear Differ. Equ. Appl. 20, 1741–1757 (2013). https://doi.org/10.1007/s00030-013-0228-z
dc.identifier.doihttps://doi.org/10.1007/s00030-013-0228-z
dc.identifier.issn1420-9004; e-ISSN: 1021-9722
dc.identifier.urihttps://hdl.handle.net/20.500.14468/24460
dc.journal.titleNonlinear Differential Equations and Applications (NoDEA)
dc.journal.volume20
dc.language.isoen
dc.page.final1757
dc.page.initial1741
dc.publisherSpringer Nature
dc.relation.centerFacultades y escuelas::Facultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject12 Matemáticas
dc.subject.keywordsNonlinear elliptic equationsen
dc.subject.keywordsW 1,1 0 (Ω) solutionsen
dc.subject.keywordsQuadratic gradient termsen
dc.titleW01,1 -solutions for elliptic problems having gradient quadratic lower order termsen
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
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