The Lane-Emden equation with variable double-phase and multiple regime
Analysis of PDEs
2020-02-07 v1
Abstract
We are concerned with the study of the Lane-Emden equation with variable exponent and Dirichlet boundary condition. The feature of this paper is that the analysis that we develop does not assume any subcritical hypotheses and the reaction can fulfill a mixed regime (subcritical, critical and supercritical). We consider the radial and the nonradial cases, as well as a singular setting. The proofs combine variational and analytic methods with a version of the Palais principle of symmetric criticality.
Keywords
Cite
@article{arxiv.2002.02190,
title = {The Lane-Emden equation with variable double-phase and multiple regime},
author = {Claudianor O. Alves and Vicenţiu D. Rădulescu},
journal= {arXiv preprint arXiv:2002.02190},
year = {2020}
}
Comments
The final version this paper will be published in Proc. AMS