Quasilinear Dirichlet systems with competing operators and convection

2023/05/06 by Laura Gambera, Gambera, L., S. Marano +3 · 1 citation
Computer Science · Mathematics · #35D30 #35J47 #35J92 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Numerical Methods #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2305.03968

openalex publication_date 2023/05/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we consider a quasi-linear Dirichlet system with possible competing (p,q)-Laplacians and convections. Due to the lack of ellipticity, monotonicity, and variational structure, the standard approaches to the existence of weak solutions cannot be adopted. Nevertheless, through an approximation procedure and a corollary of Brouwer's fixed point theorem we show that the problem admits a solution in a suitable sense.

Cited by

• Differential inclusion systems with fractional competing operator and multivalued fractional convection term

Related

• On competing (p,q) -Laplacian Drichlet problem with unbounded weight
• A problem involving competing and intrinsic operators
• Quasi-linear elliptic equations with superlinear convection
• Singular quasilinear convective elliptic systems in R^N
• Quasilinear Elliptic Cooperative and Competitive Systems