Infinitely many solutions for elliptic equations with non-symmetric nonlinearities
Analysis of PDEs
2021-12-07 v1
Abstract
We deal with the existence of infinitely many solutions for a class of elliptic problems with non-symmetric nonlinearities. Our result, which is motivated by a well known conjecture formulated by A. Bahri and P.L. Lions, suggests a new approach to tackle these problems. The proof is based on a method which does not require to use techniques of deformation from the symmetry and may be applied to more general non-symmetric problems.
Keywords
Cite
@article{arxiv.2112.02298,
title = {Infinitely many solutions for elliptic equations with non-symmetric nonlinearities},
author = {Riccardo Molle and Donato Passaeo},
journal= {arXiv preprint arXiv:2112.02298},
year = {2021}
}
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31 pages