Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
| Autor: | Gennaro Infante, Alessandro Calamai, Stefano Biagi |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Elliptic systems
Differential equation General Mathematics Mathematical analysis Fixed-point index Elliptic System Statistical and Nonlinear Physics Fixed Point Index Gradient Terms Mathematics - Analysis of PDEs Cone (topology) Positive Solution FOS: Mathematics Boundary value problem Cone Analysis of PDEs (math.AP) Functional Boundary Condition Mathematics |
| Zdroj: | Advanced Nonlinear Studies. 20:911-931 |
| ISSN: | 2169-0375 1536-1365 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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