A fractional Landesman-Lazer type problem set on R^N
Analysis of PDEs
2025-03-03 v1
Abstract
By using the abstract version of Struwe's monotonicity-trick we prove the existence of a positive solution to the problem (-\Delta)^s u + K u = f(x, u) in R^N u\in H^s (R^N), K>0 where f(x, t): R^N\times R \rightarrow R is a Caratheodory function, 1-periodic in x and does not satisfy the Ambrosetti-Rabinowitz condition.
Keywords
Cite
@article{arxiv.1601.06281,
title = {A fractional Landesman-Lazer type problem set on R^N},
author = {Vincenzo Ambrosio},
journal= {arXiv preprint arXiv:1601.06281},
year = {2025}
}