On a (p,q)-Laplacian problem with parametric concave term and\n asymmetric perturbation

2017/03/31 by S. Marano, Sunra Mosconi, Marano, Salvatore +3
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1703.10828

openalex publication_date 2017/03/31 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

A Dirichlet problem driven by the (p,q)-Laplace operator and an asymmetric\nconcave reaction with positive parameter is investigated. Four nontrivial\nsmooth solutions (two positive, one negative, and the remaining nodal) are\nobtained once the parameter turns out to be sufficiently small. Under a oddness\ncondition near the origin for the perturbation, a whole sequence of\nsign-changing solutions, which converges to zero, is produced.\n

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