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.
Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs / Biagi, S.; Calamai, A.; Infante, G.. - In: ADVANCED NONLINEAR STUDIES. - ISSN 1536-1365. - ELETTRONICO. - (2020). [10.1515/ans-2020-2101]
Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
Calamai A.;
2020-01-01
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.File in questo prodotto:
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