Some quasilinear elliptic equations involving multiple p-Laplacians

2016/12/14 by Alessio Pomponio, Pomponio, Alessio, Tatsuya Watanabe +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Nonlinear Partial Differential Equations #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1612.04533

18 pages, some minor revisions

openalex publication_date 2016/12/14 · arxiv created 2017/09/20 · arxiv updated 2017/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is devoted to the study, with variational technique, of (p,q)-Laplacian equations in presence of general nonlinearities. Especially we obtain the existence result for the zero mass case, which includes a large class of pure power nonlinearities. More general quasilinear problems of Born-Infeld type are also considered.

Citations

• Existence of solitary waves in higher dimensions
• Quasilinear elliptic equations in \RN via variational methods and Orlicz-Sobolev embeddings

Cited by

• Normalized Solutions for the (2,q)-Laplacian Operator Between Mass-Critical Exponents

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