Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence

The paper focuses on a Dirichlet problem driven by the (p,q)(p,q)-Laplacian containing a parameter μ>0μ>0 in the principal part of the elliptic equation and a (convection) term fully depending on the solution and its gradient. Existence of solutions, uniqueness, a priori estimates, and asymptotic properties as μ→0μ→0 and μ→∞μ→∞ are established under suitable conditions.