Kenichiro Umezu

collaborators

2 papers

math.AP2025

Boundary layer profiles of positive solutions for logistic equations with sublinear nonlinearity on the boundary

Kenichiro Umezu

In this paper, we consider the logistic elliptic equation $- Δ u = u - u^{p}$ in a smooth bounded domain $Ω \subset R^{N}$ , $N \geq 2$ , equipped with the sublinear Neumann bound…

math.AP2024

Diffusive logistic equation with a non Lipschitz nonlinear boundary condition arising from coastal fishery harvesting: the resonant case

Kenichiro Umezu

For bifurcation analysis, we study the positive solution set for a semilinear elliptic equation of the logistic type, equipped with a sublinear boundary condition modeling coastal…