@Article{ATA-33-1, author = {}, title = {$L^∞$-Bounds of Solutions for Strongly Nonlinear Elliptic Problems with Two Lower Order Terms}, journal = {Analysis in Theory and Applications}, year = {2017}, volume = {33}, number = {1}, pages = {46--58}, abstract = {
In this work, we will prove the existence of bounded solutions in $W_{0}^{1,p}(\Omega) \cap L^{\infty}(\Omega)$ for nonlinear elliptic equations $-\mbox{ div}(a(x,u,\nabla u)) + g(x,u,\nabla u) + H(x,\nabla u) = f$, where $a$, $g$ and $H$ are Carathéodory functions which satisfy some conditions, and the right hand side $f$ belongs to $W^{-1,q}(\Omega)$.
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.2017.v33.n1.5}, url = {https://global-sci.com/article/73882/l-bounds-of-solutions-for-strongly-nonlinear-elliptic-problems-with-two-lower-order-terms} }