A nonlocal concave-convex problem with nonlocal mixed boundary data

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878870768.pdf (293.31 KB)

Date

2016

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Advisor

Volume

2344

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Journal

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WIAS Preprints

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Publisher

Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik

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Link to publishers' Version

https://doi.org/10.20347/WIAS.PREPRINT.2344

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.

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Keywords

Integrodifferential operators, fractional Laplacian, weak solutions, mixed boundary condition, multiplicity of positive solution

Keywords GND

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Publication Type

Report

Version

publishedVersion

URI

https://doi.org/10.34657/1839
 https://oa.tib.eu/renate/handle/123456789/2225

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Mathematik
WIAS Preprints

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