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.

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

Salvatore A. Marano
;
Sunra J. N. Mosconi
2018-01-01

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.
2018
(p,q)-Laplace operator; constant-sign, nodal solution; eigenvalue problem; coercive, resonant, critical, asymmetric nonlinearity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/315075
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