【摘要】 Green公式是数学分析里的一个重要公式,它建立了二重积分与边界曲线积分之间的联系。按照同样的原理,可以把它扩展到Sobolev空间中。文中把数学分析中的Green公式推广到了Sobolev空间中,并给出了几种常用形式及其在变分问题中的应用。更多还原

【Abstract】 Green formula is an important formula in Mathematic Analysis,It sets the relation between double integral and curve integral of the boundary.According to the same theory,we can extend it to the space of Sobolev. In this paper,we did that and gave some forms about it and the application in variational problems.更多还原