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Title: | A nonlocal concave-convex problem with nonlocal mixed boundary data |
Authors: | Abdellaoui, Boumediene; Dieb, Abdelrazek; Valdinoci, Enrico |
Publishers Version: | https://doi.org/10.20347/WIAS.PREPRINT.2344 |
Issue Date: | 2016 |
Published in: | Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2344, ISSN 2198-5855 |
Publisher: | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik |
Abstract: | The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data. |
Keywords: | Integrodifferential operators; fractional Laplacian; weak solutions; mixed boundary condition; multiplicity of positive solution |
DDC: | 510 |
License: | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. |
Appears in Collections: | Mathematik |
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