函数的加权重排与退化非线性椭圆方程

Mathematical Journal of Ibaraki University Pub Date : 2012-05-01 DOI:10.5036/MJIU.44.17

Hiroshi Ando, T. Horiuchi

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引用次数: 4

摘要

设Ω是rn的有界定义域。我们将处理下列形式的边值问题。(0.1)其中α > 1−n, u为相关解，∇u为其梯度，H为给定实值函数。在适当的假设下，通过函数的加权重排和加权，建立了问题(0.1)解u的先验估计

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On the weighted rearrangement of functions and degenerate nonlinear elliptic equations

Let Ω be a bounded domain of R n . We shall deal with boundary value problems of the following form . (0.1) Here α > 1 − n , u is the relevant solution, ∇ u is its gradient and H is a given real-valued function. Under proper assumptions a pri-ori estimates of solutions u to the problem (0.1) are established by virtue of weighted rearrangement of functions and weighted

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Mathematical Journal of Ibaraki University

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