Semi linear elliptic systems with dependence on the gradient

2018/04/05 by Filomena Cianciaruso, Cianciaruso, F., Paolamaria Pietramala +1
Computer Science · Mathematics · #34B18 #35B07 #35J57 #47H10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1804.01742

openalex publication_date 2018/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide results on the existence, non-existence, multiplicity and localization of positive radial solutions for semi linear elliptic systems with Dirichlet or Robin boundary conditions on an annulus. Our approach is topological and relies on the classical fixed point index. We present an example to illustrate our theory.

Citations

• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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