论文标题
带有源的Sublinear Elliptic方程的Dirichlet问题
The Dirichlet problem for sublinear elliptic equations with source
论文作者
论文摘要
我们在非负ra尺寸$μ$和$ν$上呈现出必要且充分的条件，用于存在用于sublinear椭圆方程的dirichlet问题的积极连续解决方案$-ΔU=μu=μu=μu^q+ν$，并在通用的一般域中使用规定的非听觉连续数据。此外，研究了对正界溶液的Brezis-kamin类型的双向估计值，以及正连续$ l^q $ suolty的唯一性。
We present a necessary and sufficient condition on nonnegative Radon measures $μ$ and $ν$ for the existence of a positive continuous solution of the Dirichlet problem for the sublinear elliptic equation $-Δu=μu^q+ν$ with prescribed nonnegative continuous boundary data in a general domain. Moreover, two-sided pointwise estimates of Brezis-Kamin type for positive bounded solutions and the uniqueness of a positive continuous $L^q$-solution are investigated.
