Nonlinear nonlocal equations involving subcritical or power nonlinearities and measure data

Let $ s\in(0, 1), $ $ 1 < p < \frac{N}{s} $ and $ \Omega\subset{\mathbb R}^N $ be an open bounded set. In this work we study the existence of solutions to problems ($ E_\pm $) $ Lu\pm g(u) = \mu $ and $ u = 0 $ a.e. in $ {\mathbb R}^N\setminus \Omega, $ where $ g\in C({\mathbb R}) $ i...

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Bibliographic Details
Main Author: Konstantinos T. Gkikas
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:Mathematics in Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mine.2024003?viewType=HTML