Nonlinear elliptic equations with lower-order terms
Angelo Alvino, Vincenzo Ferone, Guido Trombetti · Differential and Integral Equations · 2001
We prove regularity results for solutions of nonlinear elliptic equations containing a term which grows as $ |u|^\sigma$, $ \sigma>0$, and satisfies a "sign condition." The source term is supposed to be in $ L^1$.