Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

摘要

The existence of solutions of opposite constant sign is proved for a Dirichlet problem driven by the weighted (p, q)-Laplacian with q < p and exhibiting a (q - 1)-order term as well as a convection term. The approach is based on the method of sub-supersolution. Extremal solutions in relevant ordered intervals are obtained as well. (C) 2019 Elsevier Ltd. All rights reserved.