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

2017/03/31 by S. Marano, Salvatore Marano, Sunra Mosconi +2
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations #math.AP

paper · pdf · doi:10.48550/arxiv.1703.10831

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arxiv created 2017/03/31 · openalex publication_date 2017/03/31 · arxiv updated 2017/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Comments on Nonlinear Wave Equations as Models for Elementary Particles

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• Multiple solutions for asymptotically q-linear (p,q)-Laplacian problems
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• Bifurcation results for nonlinear eigenvalue problems involving the (p,q)-Laplace operator