2 papers
math.AP2024
Supercritical Lane-Emden equation on a cone with an inhomogeneous Dirichlet boundary condition
Sho Katayama
We consider the Lane-Emden equation with a supercritical nonlinearity with an inhomogeneous Dirichlet boundary condition on an infinite cone. Under suitable conditions for the boun…
math.AP2023
Semilinear elliptic problems on the half space with a supercritical nonlinearity
Sho Katayama
This paper concerns positive solutions to the boundary value problems of the scalar field equation in the half space with a Sobolev supercritical nonlinearity and an inhomogeneous…