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Categoria de Lusternik-Schnirelmann e aplicações
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2022-02-14)
The Lusternik-Schnirelmann category associates a positive integer to each topological space. This number is an important invariant in algebraic topology, critical point theory and symplectic geometry. In this dissertation ...
Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category
(ElsevierSan Diego, 2014-12-01)
In this paper we consider the fourth-order problem [...] where Ω is a smooth bounded domain in 'R POT.N', N ≥ 5 and '2 IND.∗" = 2N/(N − 4). We assume 2 ≤ s + 1 < '2 IND.∗' in case N ≥ 8 and '2 IND.∗' − 2 < s + 1 < '2 IND.∗' ...
Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions
(2016)
In this article, we prove the existence and multiplicity of positive solutions for the following fractional elliptic equation with sign-changing weight functions: {(-Delta)(alpha)u = alpha(lambda)(x)vertical bar u vertical ...