Humberto Ramos Quoirin

collaborators

4 papers

math.AP2021

Local minimizers for a class of functionals over the Nehari set

Humberto Ramos Quoirin, Kaye Silva

We analyze the topological structure of the Nehari set for a class of functionals depending on a real parameter $λ$ , and having two degrees of homogeneity. A special attention is p…

math.AP2017

Loop type subcontinua of positive solutions for indefinite concave-convex problems

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

We establish the existence of loop type subcontinua of nonnegative solutions for a class of concave-convex type elliptic equations with indefinite weights, under Dirichlet and Neum…

math.AP2017

A curve of positive solutions for an indefinite sublinear Dirichlet problem

Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu

We investigate the existence of a curve $q \mapsto u_{q}$ , with $q \in (0, 1)$ , of positive solutions for the problem $(P_{a, q})$ : $- Δ u = a (x) u^{q}$ in $Ω$ , $u = 0$ on $\partial Ω$ , where $…

math.AP2017

Elliptic equations involving the $p$ -Laplacian and a gradient term having natural growth

Djairo G. de Figueiredo, Jean-Pierre Gossez, Humberto Ramos Quoirin +1

We investigate the problem $$ \left\{ \begin{array}{ll} -Δ_p u = g(u)|\nabla u|^p + f(x,u) \ & \mbox{in} \ \ Ω, \ \ \\ u>0 \ &\mbox{in} \ \ Ω, \ \ u = 0 \ &\mbox{on} \ \ \partialΩ,…

Local minimizers for a class of functionals over the Nehari set

Loop type subcontinua of positive solutions for indefinite concave-convex problems

A curve of positive solutions for an indefinite sublinear Dirichlet problem

Elliptic equations involving the p-Laplacian and a gradient term having natural growth

Elliptic equations involving the $p$ -Laplacian and a gradient term having natural growth