Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
The paper has essentially two main goals. The first one is to prove Liouville type results for degenerate problems of the type \[ \Delta_mu + f(u) = 0, \;\;u\geq 0 \] in a connected open set, considering also in particular the case \[ f(u) = u^{p-1},\;p>1. \] The second one is to derive universal estimates for the solutions of the previous problem, where universal means in particular independent from boundary conditions.
scientific article; zbMATH DE number 1881296
scientific article