Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs-Reference-Cited by-同舟云学术

Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs

Published:2020-08-06 Issue:4 Volume:20 Page:911-931
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Biagi Stefano¹^ORCID,Calamai Alessandro²^ORCID,Infante Gennaro³^ORCID

Affiliation:

1. Dipartimento di Matematica , Politecnico di Milano , Via Bonardi 9, 20133 Milano , Italy

2. Dipartimento di Ingegneria Civile, Edile e Architettura , Università Politecnica delle Marche , Via Brecce Bianche, 60131 Ancona , Italy

3. Dipartimento di Matematica e Informatica , Università della Calabria , 87036 Arcavacata di Rende , Cosenza , Italy

Abstract

Abstract We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities. We prove the existence of nonnegative solutions and provide a non-existence result. We present some examples to illustrate the applicability of the existence and non-existence results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2020-2101/pdf

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