Weak solutions of hessian equations
Weak solutions of hessian equations
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DOI：
10.1080/03605309708821299
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发表时间：
1997
影响因子：
1.9
通讯作者：
S. Trudinger
中科院分区：
文献类型：
--
作者：
S. Trudinger
研究了由初等对称函数决定的具有Lp非齐次项的Hessian方程弱解的存在性、唯一性和保持器正则性。弱解的概念是由近似定义的，我们的治疗借鉴了经典理论，以及最近的Lp估计导致我们的等周不等式quermassintegrals非凸域。
We consider the existence, uniqueness and Holder regularity of weak solutions of Hessian equations, determined by the elementary symmetric functions, with Lp inhomogeneous terms. The notion of weak solution is defined by approximation and our treatment draws on the classical theory, together with recent Lp estimates resulting from our isoperimetric inequalities for quermassintegrals on non-convex domains.