Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

The Lane-Emden equation with variable double-phase and multiple regime


Authors: Claudianor O. Alves and Vicenţiu D. Rădulescu
Journal: Proc. Amer. Math. Soc. 148 (2020), 2937-2952
MSC (2010): Primary 35J20; Secondary 35J75, 35J92, 35P30
DOI: https://doi.org/10.1090/proc/15050
Published electronically: April 9, 2020
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 35J20, 35J75, 35J92, 35P30

Retrieve articles in all journals with MSC (2010): 35J20, 35J75, 35J92, 35P30


Additional Information

Claudianor O. Alves
Affiliation: Unidade Acadêmica de Matemática, Universidade Federal de Campina Grande, 58429-970, Campina Grande - PB, Brazil
Email: coalves@mat.ufcg.edu.br

Vicenţiu D. Rădulescu
Affiliation: Faculty of Applied Mathematics, AGH University of Science and Technology, 30-059 Kraków, Poland; and Department of Mathematics, University of Craiova, 200585 Craiova, Romania; and Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
Email: radulescu@inf.ucv.ro

DOI: https://doi.org/10.1090/proc/15050
Keywords: Lane-Emden equation, double-phase energy, variable exponent, nonhomogeneous differential operator, Palais principle of symmetric criticality
Received by editor(s): November 11, 2019
Published electronically: April 9, 2020
Communicated by: Catherine Sulem
Article copyright: © Copyright 2020 American Mathematical Society