This paper studies solution stability of a parametric optimal control problem governed by semilinear elliptic equations and nonconvex objective function with mixed pointwise constrains in which the controls act both in the domain and on the boundary. We give sufficient conditions under which the solution map is upper semicontinuous and continuous in parameters.

中文翻译：

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参数椭圆最优控制问题解的上半连续性

本文研究了由半线性椭圆方程和具有混合点向约束的非凸目标函数控制的参数最优控制问题的解稳定性，其中控制既作用于域又作用于边界。我们给出了充分的条件，在该条件下解映射为上半连续和连续的参数。