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- Title
Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs.
- Authors
Biagi, Stefano; Calamai, Alessandro; Infante, Gennaro
- 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.
- Subjects
DIFFERENTIAL equations; BOUNDARY value problems; NATURAL numbers; UNIFORMITY; DIRICHLET problem
- Publication
Advanced Nonlinear Studies, 2020, Vol 20, Issue 4, p911
- ISSN
1536-1365
- Publication type
Article
- DOI
10.1515/ans-2020-2101