A nonlocal concave-convex problem with nonlocal mixed boundary data

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

URI

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

Citation

Abdellaoui, B., Dieb, A., & Valdinoci, E. (2016). A nonlocal concave-convex problem with nonlocal mixed boundary data (Vol. 2344). Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik. https://doi.org//10.20347/WIAS.PREPRINT.2344

Collections

Mathematik
WIAS Preprints

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