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Please use this identifier to cite or link to this item: http://hdl.handle.net/1843/30804
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dc.contributor.advisor1Emerson Alves Mendonça de Abreupt_BR
dc.contributor.advisor1Latteshttp://lattes.cnpq.br/0989407026771712pt_BR
dc.creatorAldo Henrique de Souza Medeirospt_BR
dc.creator.Latteshttp://lattes.cnpq.br/2515109720775692pt_BR
dc.date.accessioned2019-11-04T15:09:39Z-
dc.date.available2019-11-04T15:09:39Z-
dc.date.issued2019-08-23-
dc.identifier.urihttp://hdl.handle.net/1843/30804-
dc.description.resumoIn the first part of this work, we study the regularity of weak solutions (in an appropriate space) of the elliptic partial differential equation (−∆p)su + (−∆q)su = f(x) in RN, where 0 < s < 1 and 2 ≤ q ≤ p < N/s, and we prove that these solutions are locally in C0,α(RN). In the sequence, we prove the existence of solutions of the problem (−∆p)su + (−∆q)su = |u|p∗ s−2u + λg(x)|u|r−2u in RN, where 1 < q ≤ p < N/s, λ is a parameter and g satisfies some integrability conditions. As an application of the previus result, we show that, if 0 < s < 1, 2 ≤ q ≤ p < N/s and g is bounded, then the obtained solutions are continuous and bounded. In the final part of the work, we study the behavior as p →∞ of up, a positive least energy solution of the problem        h(−∆p)α +−∆q(p) βiu = µpkukp−2 ∞ u(xu)δxu in Ω u = 0 in RN \Ω |u(xu)| = kuk∞, where Ω ⊂RN is a smooth bounded domain, δxu is the Dirac delta distribution supported at xu, lim p→∞ q(p) p = Q ∈((0,1) if 0 < β < α < 1 (1,∞) if 0 < α < β < 1 and lim p→∞ p √µp > R−α, with R denoting the inradius of Ω.pt_BR
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológicopt_BR
dc.languageengpt_BR
dc.publisherUniversidade Federal de Minas Geraispt_BR
dc.publisher.countryBrasilpt_BR
dc.publisher.programPrograma de Pós-Graduação em Matemáticapt_BR
dc.publisher.initialsUFMGpt_BR
dc.rightsAcesso Abertopt_BR
dc.subjectLaplacianpt_BR
dc.subjectDifferential equationpt_BR
dc.titleLocal behavior and existence of solutions for problems involving fractional (p,q)- Laplacianpt_BR
dc.typeTesept_BR
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