A priori estimates for solutions of $g$-Laplace type problems

A priori estimates for solutions of $g$-Laplace type problems

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...

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Bibliographic Details
Main Authors: Ceresa-Dussel, I, Bonder, J. Fernández, Silva, A
Format: Journal Article
Language:English
Published: 11-05-2023
Subjects:
Mathematics - Analysis of PDEs
Online Access:Get full text
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Summary: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.
DOI:10.48550/arxiv.2305.06874