Solvability of nonlinear elliptic equations with gradient terms

Patricio Felmer, Alexander Quaas, Boyan Sirakov

We study the solvability in the whole Euclidean space of coercive quasi-linear and fully nonlinear elliptic equations modeled on $\Delta u\pm g(|\nabla u|)=f(u)$, $u\ge 0$, where $f$ and…