4 papers · 1 filter
Concentration profile, energy, and weak limits of radial solutions to semilinear elliptic equations with Trudinger-Moser critical nonlinearities
Daisuke Naimen
We investigate the next Trudinger-Moser critical equations, \[ \begin{cases} -Δu=λue^{u^2+α|u|^β}&\text{ in }B,\\ u=0&\text{ on }\partial B, \end{cases} \] where , $(λ,β)\in(0…
Bubbling nodal solutions for a large perturbation of the Moser-Trudinger equation on planar domains
Massimo Grossi, Gabriele Mancini, Daisuke Naimen +1
In this work we study the existence of nodal solutions for the problem where is…
A note on radial solutions to the critical Lane-Emden equation with a variable coefficient
Daisuke Naimen, Futoshi Takahashi
In this note, we consider the following problem, \begin{equation*} \begin{cases} -Δu=(1+g(x))u^{\frac{N+2}{N-2}},\ u>0\text{ in }B,\\ u=0\text{ on }\partial B, \end{cases} \end{equ…
Blow-up analysis for nodal radial solutions in Moser-Trudinger critical equations in
Massimo Grossi, Daisuke Naimen
In this paper we consider nodal radial solutions to the problem \[ \begin{cases} -Δu=λue^{u^2+|u|^{1+ε}}&\text{ in }B,\\ u=0&\text{ on }\partial B. \end{cases} \] and we stud…