Some recent results on singular p-Laplacian equations

Abstract

A short account of some recent existence, multiplicity, and uniqueness results for singular p-Laplacian problems either in bounded domains or in the whole space is performed, with a special attention to the case of convective reactions. An extensive bibliography is also provided.

Keywords

• quasi-linear elliptic equation
• gradient dependence
• singular term
• entire solution
• strong solution
• 35-02
• 35j62
• 35j75
• 35j92