On critical elliptic problems with singular Trudinger-Moser nonlinearities

2020/06/03 by Shiqiu Fu, Fu, Shiqiu, Kanishka Perera +1
Computer Science · Mathematics · #35J60 #35J75 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems #Primary 35B33 #Secondary 35J20

paper · pdf · doi:10.48550/arxiv.2006.02010

openalex publication_date 2020/06/03 · openalex created_date 2020/06/12 · openalex updated_date 2026/07/28

Abstract

We establish some existence results for a class of critical elliptic problems with singular exponential nonlinearities. We do not assume any global sign conditions on the nonlinearity, which makes our results new even in the nonsingular case.

Related

• N-Laplacian problems with critical Trudinger-Moser nonlinearities
• Positive solutions of semipositone elliptic problems with critical Trudinger-Moser nonlinearities
• Existence, nonexistence, and asymptotic behavior of solutions for N-Laplacian equations involving critical exponential growth in the whole ℝ^N
• Critical fractional elliptic equations with exponential growth without Ambrosetti-Rabinowitz type condition
• Modified quasilinear equations with strongly singular and critical exponential nonlinearities