36 citations · 51 across the 16 of their papers we have counts for
17 papers
Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting II
Kenichiro Umezu
We study the positive solutions of the logistic elliptic equation with a nonlinear Neumann boundary condition that models coastal fishery harvesting ([18]). An essential role is pl…
Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting
Kenichiro Umezu
Let . In this study, we investigate positive solutions of the logistic elliptic equation in a smooth bounded domain of , , w…
Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary condition
Kenichiro Umezu
In this paper, we consider the Laplace equation with a class of indefinite superlinear boundary conditions and study the uniqueness of positive solutions that this problem possesse…
Uniqueness and positivity issues in a quasilinear indefinite problem
Uriel Kaufmann, Humberto Ramos Quoirin, Kenichiro Umezu
We consider the problem $$ (P_λ)\quad -Δ_{p}u=λu^{p-1}+a(x)u^{q-1},\quad u\geq0\quad\mbox{ in }Ω$$ under Dirichlet or Neumann boundary conditions. Here is a smooth bounded doma…
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.…
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}{…