Some recent results on the Dirichlet problem for $(p, q)$-Laplace equations
S. Marano, Sunra Mosconi · Discrete and Continuous Dynamical Systems - S · 2017
A short account of recent existence and multiplicity theorems on the Dirichlet problem for an elliptic equation with $(p, q)$-Laplacian in a bounded domain is performed. Both eigenvalue problems and different types of perturbation terms are briefly discussed. Special attention is paid to possibly coercive, resonant, subcritical, critical, or asymmetric right-hand sides.