2 papers
math.AP2025
Singular solutions and bifurcation diagram of semilinear elliptic equations with general nonlinearity in two dimensions
Hiroaki Kikuchi, Kenta Kumagai
In this paper, we investigate semilinear elliptic equations with general exponential-type nonlinearities in two dimensions. For such nonlinearities, we establish two main results.…
math.AP2025
Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…