A priori estimates for solutions of $g$-Laplace type problems
Analysis of PDEs
2023-05-12 v1
Abstract
In this work we study a priori bounds for weak solution to elliptic problems with nonstandard growth that involves the so-called Laplace operator. The Laplacian is a generalization of the 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.
Keywords
Cite
@article{arxiv.2305.06874,
title = {A priori estimates for solutions of $g$-Laplace type problems},
author = {I. Ceresa-Dussel and J. Fernández Bonder and A. Silva},
journal= {arXiv preprint arXiv:2305.06874},
year = {2023}
}
Comments
12 pages, submitted