Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting
Analysis of PDEs
2021-12-16 v1
Abstract
This paper deals with some classes of Kirchhoff type problems on a double phase setting and with nonlinear boundary conditions. Under general assumptions, we provide multiplicity results for such problems in the case when the perturbations exhibit a suitable behavior in the origin and at infinity, or when they do not necessarily satisfy the Ambrosetti-Rabinowitz condition. To this aim, we combine variational methods, truncation arguments and topological tools.
Keywords
Cite
@article{arxiv.2112.08135,
title = {Multiple solutions for nonlinear boundary value problems of Kirchhoff type on a double phase setting},
author = {Alessio Fiscella and Greta Marino and Andrea Pinamonti and Simone Verzellesi},
journal= {arXiv preprint arXiv:2112.08135},
year = {2021}
}
Comments
22 pages, comments are welcome