Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 57, pp. 1-13.

Title: Nonlinear Dirichlet problems with the combined effects
       of singular and convection terms

Authors: Yunru Bai (Jagiellonian Univ.,Krakow, Poland)
         Leszek Gasinski (Pedagogical Univ. of Cracow, Poland)
         Nikolaos S. Papageorgiou (National Technical Univ., Athens, Greece)

Abstract:
 We consider a nonlinear Dirichlet elliptic problem driven by the
 p-Laplacian. In the reaction term of the equation we have the combined
 effects of a singular term and a convection term.
 Using a topological approach based on the fixed point theory
 (the Leray-Schauder alternative principle),
 we prove the existence of a positive smooth solution.

Submitted November 12, 2018. Published May 03, 2019.
Math Subject Classifications: 35J92, 35P30.
Key Words: Singular term; convection term; strong comparison;
           Leray-Schauder alternative principle.