3 citations · 7 across the 3 of their papers we have counts for
5 papers
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…
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…
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…