2014-11-252013-09-27CARVALHO, Marcos Leandro Mendes. Equações diferenciais parciais elípticas multivalentes: crescimento crítico, métodos variacionais. 2013. 135 f. Tese. (Doutorado em Matemática) - Universidade Federal de Goiás, Goiânia, 2013.http://repositorio.bc.ufg.br/tede/handle/tede/3686In this work we develop arguments on the critical point theory for locally Lipschitz functionals on Orlicz-Sobolev spaces, along with convexity, minimization and compactness techniques to investigate existence of solution of the multivalued equation −∆Φu ∈ ∂ j(.,u) +λh in Ω, where Ω ⊂ RN is a bounded domain with boundary smooth ∂Ω, Φ : R → [0,∞) is a suitable N-function, ∆Φ is the corresponding Φ−Laplacian, λ > 0 is a parameter, h : Ω → R is a measurable and ∂ j(.,u) is a Clarke’s Generalized Gradient of a function u %→ j(x,u), a.e. x ∈ Ω, associated with critical growth. Regularity of the solutions is investigated, as well.application/pdfAcesso AbertoMinimizaçãoConvexidadeEspaços de Orlicz-SobolevMinimizationConvexityOrlicz-Sobolev spacesCIENCIAS EXATAS E DA TERRA::MATEMATICATese