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Some recent results on the Dirichlet problem for (p,q)-Laplace equations (1703.10831v1)
Published 31 Mar 2017 in math.AP
Abstract: 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.