2014/04/30 by Claudianor O. Alves, Alves, Claudianor O., Denilson S. Pereira +1
Computer Science · Mathematics · #35A15 #35J15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP #msc:35A15 #msc:35J15
paper · pdf · doi:10.48550/arxiv.1404.7649
arxiv created 2014/04/30 · openalex publication_date 2014/04/30 · arxiv updated 2014/05/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In this work, we prove the existence of least energy nodal solution for a class of elliptic problem in both cases, bounded and unbounded domain, when the nonlinearity has exponential critical growth in ℝ2. Moreover, we also prove a nonexistence result of least energy nodal solution for the autonomous case in whole ℝ2.