2022/02/28 by Prashanta Garain, Garain, Prashanta, Tuhina Mukherjee +1
Mathematics · #35A15 #35J62 #35J75 #35J92 #Analysis of PDEs (math.AP) #Anisotropy #Energy (signal processing) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Nonlinear system #Phase (matter) #Physics #Quantum mechanics #Sign (mathematics) #Term (time) #math.AP #msc:35A15 #msc:35J62 #msc:35J75 #msc:35J92
paper · pdf · doi:10.48550/arxiv.2202.13575
28 pages, comments are welcome
arxiv created 2022/02/28 · openalex publication_date 2022/02/28 · arxiv updated 2022/03/01 · openalex created_date 2022/04/03 · openalex updated_date 2026/08/04
This article consists of study of anisotropic double phase problems with singular term and sign changing subcritical as well as critical nonlinearity. Seeking the help of well known Nehari manifold technique, we establish existence of at least two opposite sign energy solutions in the subcritical case and one negative energy solution in the critical case. The results in the critical case is even new in the classical p-Laplacian case.