论文标题
通过亚super solutions方法存在对各向异性椭圆操作员的正征本函数
Existence of Positive Eigenfunctions to an Anisotropic Elliptic Operator via Sub-Super Solutions Method
论文作者
论文摘要
使用子启动方法，我们研究了各向异性问题的阳性解决方案的存在\ begin {qore} - \ sum_ {i = 1}^n \ frac {\ partial} {\ partial x_i} {\ partial x_i} \ left（ x_i} \ right |^{p_i-2} \ frac {\ partial u} {\ partial x_i} \ right）=λu^{q-1} \ end eNd {qore}，其中$ω$是$ \ \ mathbb {r}^r}^n $，$ Q> $ Q> $ Q> Q> 1的限制和常规域的和常规域的。
Using the sub-supersolution method we study the existence of positive solutions for the anisotropic problem \begin{equation} -\sum_{i=1}^N\frac{\partial}{\partial x_i}\left( \left|\frac{\partial u}{\partial x_i}\right|^{p_i-2}\frac{\partial u}{\partial x_i}\right)=λu^{q-1} \end{equation} where $Ω$ is a bounded and regular domain of $\mathbb{R}^N$, $q>1$ and $λ>0$.
