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4.8
104 reviews本书还完整讲述了变分不等式的解的正则性,包括双障碍问题,其中障碍可以是不连续的。解的正则性涉及Wiener型条件并以精细拓扑结构的形式给出。本书还讨论了具有可微结构和 C¹ ᵃ障碍的微分算子的情形。书中的一章专门讨论了存在理论,从而为读者提供了从弱解的正则性到弱解的存在性的完整处理。
本书适合于对椭圆微分方程弱解的正则性理论、Sobolev空间和位势论感兴趣的研究生阅读,也可供相关研究人员参考。