@Article{ATA-33-46, 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 = {http://global-sci.org/intro/article_detail/ata/4615.html} }