Nodal solutions for Neumann systems with gradient dependence

Abstract We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , | ∇ u 1 | p 1 − 2 ∂ u 1 ∂ η = 0 = | ∇ u 2 | p 2 − 2 ∂ u 2...

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Bibliographic Details
Main Authors: Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-023-01814-2