Some recent results on the Dirichlet problem for $(p, q)$-Laplace equations

By S. Marano, Sunra Mosconi. 2017

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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.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/83f8f8f36287c17f74c4f57242c681f11617e0c7