On nonlocal Dirichlet problems with oscillating term
Analysis of PDEs
2023-05-17 v1 Functional Analysis
Abstract
In this paper, a class of nonlocal fractional Dirichlet problems is studied. By using a variational principle due to Ricceri (whose original version was given in J. Comput. Appl. Math. 113 (2000), 401-410), the existence of infinitely many weak solutions for these problems is established by requiring that the nonlinear term has a suitable oscillating behaviour either at the origin or at infinity.
Cite
@article{arxiv.2305.09609,
title = {On nonlocal Dirichlet problems with oscillating term},
author = {Boštjan Gabrovšek and Giovanni Molica Bisci and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2305.09609},
year = {2023}
}