TY - JOUR ID - Jana2025 LB - Jana2025 AU - Jana, Purbita TI - Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type ST - Asymptotic behavior of the solutions of operators that are sum of pseudo p-Laplace type JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2025 VL - 45 IS - 4 SP - 509 EP - 521 DO - https://doi.org/10.7494/OpMath.2025.45.4.509 UR - https://doi.org/10.7494/OpMath.2025.45.4.509 AB - The article investigates a Poisson-type problem for operators that are finite sum of pseudo \(p\)-Laplace-type operators within long cylindrical domains. It establishes that the rate of convergence is exponential, which is considered optimal. In addition, the study analyzes the asymptotic behavior of the related energy functional. This research contributes to a deeper understanding of the mathematical properties and asymptotic analysis of solutions in this context. KW - pseudo \(p\)-Laplace equation KW - cylindrical domains KW - asymptotic analysis SN - 1232-9274 ER -