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

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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs ; volume:20 ; number:4 ; year:2020 ; pages:911-931 ; extent:21
Advanced nonlinear studies ; 20, Heft 4 (2020), 911-931 (gesamt 21)

Creator
Biagi, Stefano
Calamai, Alessandro
Infante, Gennaro

DOI
10.1515/ans-2020-2101
URN
urn:nbn:de:101:1-2405031626503.414962809092
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:57 AM CEST

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