@Article{ATA-30-3,
author = {},
title = {Existence and Uniqueness of Renormalized Solution of Nonlinear Degenerated Elliptic Problems},
journal = {Analysis in Theory and Applications},
year = {2014},
volume = {30},
number = {3},
pages = {318--343},
abstract = {<p style="text-align: justify;">In this paper, We study a general class of nonlinear degenerated elliptic problems associated with the differential inclusion $\beta(u)-div(a(x,Du)+F(u))\ni f$ in $\Omega $, where $f\in L^{1}(\Omega )$. A vector field $a(\cdot,\cdot)$ is a Carathéodory function. Using truncation techniques and the generalized monotonicity method in the functional spaces we prove the existence of renormalized solutions for general $L^1$-data. Under an additional strict monotonicity assumption uniqueness of the renormalized solution is established.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2014.v30.n3.8},
url = {https://global-sci.com/article/74000/existence-and-uniqueness-of-renormalized-solution-of-nonlinear-degenerated-elliptic-problems}
}