Lower semicontinuity and relaxation for integral functionals with p(x)- and p(x, u)-growth
Author:
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1134/S0037446611060164.pdf
Reference33 articles.
1. Antontsev S. and Shmarev S., “Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions,” Nonlinear Anal., 65, No. 4, 718–761 (2006).
2. Coscia A. and Mucci D., “Integral representation and Γ-convergence of variational integrals with P(X)-growth,” ESAIM Control Optim. Calc. Var., 7, 495–519 (2002).
3. Mucci D., “Relaxation of variational integrals with piecewise constant growth condition,” J. Convex Anal., 10, No. 2, 295–324 (2003).
4. Mingione G. and Mucci D., “Integral functionals and the gap problem: sharp bounds for relaxation and energy concentration,” SIAM J. Math. Anal., 36, No. 5, 1540–1579 (2005).
5. Acerbi E., Bouchitte G., and Fonseca I., “Relaxation of convex functionals. The gap phenomenon,” Ann. Inst. Henri Poincaré, Anal. Non Linéaire, 20, No. 3, 359–390 (2003).
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