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摘要
This paper is concerned with the functional J defined by J(u) = integral(Omega x Omega) W (x, y, del u(x), del u(y))dxdy, where Omega subset of R-N is a regular open bounded set and W is a real- valued function with variable growth. After discussing the theory of Young measures in variable exponent Sobolev spaces, we study the weak lower semicontinuity and relaxation of J.
- 出版日期2014
- 单位哈尔滨工业大学
