On a Singular Robin Problem with Convection Terms

Abstract

In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established. Proofs chiefly exploit sub-super-solution and truncation techniques, set-valued analysis, recursive methods, nonlinear regularity theory, as well as fixed point arguments. A uniqueness result is also presented.

Keywords

• robin problem
• quasilinear elliptic equation
• gradient dependence
• singular term
• 35j60
• 35j62
• 35j92