36 citations · 51 across the 16 of their papers we have counts for
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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…
An indefinite concave-convex equation under a Neumann boundary condition I
Humberto Ramos Quoirin, Kenichiro Umezu
We investigate the problem $$-Δu = λb(x)|u|^{q-2}u +a(x)|u|^{p-2}u \mbox{ in } Ω, \quad \frac{\partial u}{\partial \mathbf{n}} = 0 \mbox{ on } \partial Ω, \leqno{(P_λ)} $$ where $Ω…