Parabolic Equations with Anisotropic Nonstandard Growth Conditions

Author:

Antontsev S.,Shmarev S.

Publisher

Birkhäuser Basel

Reference16 articles.

1. E. Acerbi and G. Mingione, Regularity results for a class of functionals with non-standard growth, Arch. Rational Mech. Anal., 156 (2001), pp. 121–140.

2. E. Acerbi and G. Mingione, Regularity results for stationary electro-rheological fluids, Arch. Rational Mech. Anal., 164 (2002), pp. 213–259.

3. E. Acerbi, G. Mingione, and G.A. Seregin, Regularity results for parabolic systems related to a class of non-Newtonian fluids, Ann. Inst. H. Poincaré Anal. Non Linéaire, 21 (2004), pp. 25–60.

4. S. Antontsev and S. Shmarev, Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions, Nonlinear Analysis Serie A: Theory and Methods (to appear).

5. S. Antontsev and S. Shmarev, Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity, Preprint 3, Departamento de Matemática, Universidade da Beira Interior, 2004, 16 pp., www.ubi.pt/externos/noe.html. (To appear in “Fundamental and Applied Mathematics”, 2005.)

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