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.
Titolo: | Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs |
Autori: | |
Data di pubblicazione: | 2020 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11566/284545 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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