论文标题
在某些$ \ oferrightarrow {p(x)} $无限域中的各向异性椭圆方程
On some $\overrightarrow{p(x)}$ anisotropic elliptic equations in unbounded domain
论文作者
论文摘要
我们在Sobolev各向异性空间的框架中研究了一类具有差异条件的非线性椭圆问题,该空间具有可变指数的框架,涉及无限域$ω\ subset \ subset \> i \> i \! 我们证明了熵解决方案的存在,避免了降低订单条款上的符号条件和矫正性。
We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on an unbounded domain $Ω\subset \>I\!\!R^{N}\>(N \geq 2)\>$. We prove the existence of entropy solutions avoiding sign condition and coercivity on the lowers order terms.