Entire large solutions for semilinear elliptic equations

Louis Dupaigne, Marius Ghergu, Olivier Goubet +1

We analyze the semilinear elliptic equation $\Delta u=\rho (x)f(u)$, $u>0$ in ${\mathbf{R}}^D$ $(D\ge 3)$, with a particular emphasis put on the qualitative study of entire large solutions, t…