发展型p-Laplace方程边界最优控制的存在性

通过对成本泛函的极小化序列取极限给出发展型p-Laplace方程初边值问题最优控制函数的存在性.先用能量估计方法研究该问题解的存在唯一性，再用紧性估计和紧嵌入定理分析成本泛函极小化序列的收敛性，最后证明最优控制函数的存在性.

Existence of Boundary Optimal Control for Evolution p-Laplace Equations

We gave the existence of the optimal control function for the initial  boundary value problem of evolution p-Laplace equations by taking the limit of the minimizing sequences of the cost functional. Firstly, we studied the existence and uniqueness of the solution to the problem by using the energy estimate method. Secondly,  we analyzed convergence of the minimizing sequences of the cost functional by using compact estimates and compact imbedding theorem. Finally, we proved  the existence of the the optimal control function.