A priori estimates for solutions of g-Laplace type problems

2023/05/11 by Ignacio Ceresa-Dussel, Ceresa-Dussel, I., Julián Fernández Bonder +3
Computer Science · Mathematics · #35J20 #35J60 #Advanced Mathematical Modeling in Engineering #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2305.06874

openalex publication_date 2023/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called g-Laplace operator. The g-Laplacian is a generalization of the p-Laplace operator that takes into account different behaviors than pure powers. The method to obtain this a priori estimates is the so called ``blow-up'' argument developed by Gidas and Spruck. Then we applied this a priori bounds to show some existence results for these problems.

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