Local and Global Weak Solutions for Elliptic Nonlinear Equations
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i2.5621Keywords:
weak solution, Nonlinear equation, measurable coefficients, gradient estimates, Holder’s inequality.Abstract
In this work, it is considered that a certain quasilinear elliptic equation in an open bounded domain in Rn over a vector space, and we derive gradient estimates for weak solutions of p-Laplacian type elliptic equations with tiny bounded mean oscillation coefficients locally Lp, p ≥ q. In addition, we provide the key findings.
Downloads
Published
Issue
Section
License
Copyright (c) 2025 Habeeb Ibrahim, Mohammed Dafaalla, Osman Abdalla Adam Osman, Ashraf. S. ELshreif
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.