3 citations · 11 across the 13 of their papers we have counts for
15 papers
A unified treatment of degenerate nonlocal elliptic problems
L. Gasinski, H. Ramos Quoirin, J. Santos Junior +1
We develop a unified framework for a broad class of nonlocal elliptic problems, encompassing a wide spectrum of nonlocal terms, including the classical Kirchhoff and Carrier-type e…
Prescribed energy solutions of concave-convex type problems involving sign-changing or vanishing weights
Kanishka Perera, Humberto Ramos Quoirin, Kaye Silva
We provide an abstract approach to find couples satisfying $$Φ_λ(u)=c \quad \mbox{and} \quad Φ'_λ(u)=0,$$ for some suitable values of $c \in \mathbb…
Multiplicity of dead core solutions in indefinite elliptic problems
Vladimir Bobkov, Humberto Ramos Quoirin
We investigate nonnegative solutions of indefinite elliptic problems which enjoy the dead core phenomenon. Our model is the subhomogeneous problem $$ -Δ_p u = (a^+(x) - μa^-(x))|u|…
Further applications of the Nehari manifold method to functionals in
Edir J. F. Leite, Humberto Ramos Quoirin, Kaye Silva
We proceed with the study of the Nehari manifold method for functionals in , where is a Banach space. We deal now with functionals whose fibering maps h…
Zero energy critical points of functionals depending on a parameter
Humberto Ramos Quoirin, Jefferson Silva, Kaye Silva
We investigate zero energy critical points for a class of functionals defined on a uniformly convex Banach space, and depending on a real parameter . More precisely, we sh…
Past and recent contributions to indefinite sublinear elliptic problems
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
We review the indefinite sublinear elliptic equation in a smooth bounded domain , with Dirichlet or Neumann homogeneous boundary conditions.…
Non-existence of dead cores in fully nonlinear elliptic models
Joao Vitor da Silva, Disson dos Prazeres, Humberto Ramos Quoirin
We investigate non-existence of nonnegative dead-core solutions for the problem $$|Du|^γF(x, D^2u)+a(x)u^q = 0 \quad \mbox{in} \quad Ω, \quad u=0 \quad \mbox{ on } \quad \partialΩ.…
Uniqueness and sign properties of minimizers in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
Let and be sign-changing, where is a bounded and smooth domain of . We show that the functional \[ I_{q}(u):=\int_Ω\left( \frac{1}{…
Nonnegative solutions of an indefinite sublinear Robin problem I: positivity, exact multiplicity, and existence of a subcontinuum
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
Let () be a smooth bounded domain, a sign-changing function, and . We investigate the Robin problem \[ \begin{cases} -Δu…
An indefinite concave-convex equation under a Neumann boundary condition II
Humberto Ramos Quoirin, Kenichiro Umezu
We proceed with the investigation of the problem $-Δu = λb(x)|u|^{q-2}u +a(x)|u|^{p-2}u \ \mbox{ in } Ω, \ \ \frac{\partial u}{\partial \mathbf{n}} = 0 \ \mbox{ on } \par…
Positive solutions of indefinite semipositone problems via sub-super solutions
Uriel Kaufmann, Humberto Ramos Quoirin
Let , , be a smooth bounded domain, and let be a possibly sign-changing function. We investigate the existence of positiv…
Positivity results for indefinite sublinear elliptic problems via a continuity argument
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
We establish a positivity property for a class of semilinear elliptic problems involving indefinite sublinear nonlinearities. Namely, we show that any nontrivial nonnegative soluti…
A loop type component in the non-negative solutions set of an indefinite elliptic problem
Humberto Ramos Quoirin, Kenichiro Umezu
We prove the existence of a loop type component of non-negative solutions for an indefinite elliptic equation with homogeneous Neumann boundary conditions. This result complements…
Ground states of elliptic problems involving non homogeneous operators
Giovany Figueiredo, Humberto Ramos Quoirin
We investigate the existence of ground states for functionals with nonhomogenous principal part. Roughly speaking, we show that the Nehari manifold method requires no homogeinity o…
Multiple solutions for an indefinite elliptic problem with critical growth in the gradient
Louis Jeanjean, Humberto Ramos Quoirin
We consider the problem , where is a bounded domain of , , $μ>0, \, c…