Nonzero positive solutions of nonlocal elliptic systems with functional BCs

Abstract

We discuss the existence and non-existence of non-negative weak solutions for second order nonlocal elliptic systems subject to functional boundary conditions. Our approach is based on classical fixed point index theory combined with some recent results by the author.

arXiv comment12 pages. arXiv admin note: text overlap with arXiv:1707.02835

References in corpus (2)

• Solutions of perturbed Hammerstein integral equations with applications
• How to break the uniqueness of $W_{loc}^{1,p}(\Omega )$-solutions for very singular elliptic problems by non-local terms

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• Asymptotic properties of PDEs in compact spaces