Interpolation inequalities for weak solutions of nonlinear parabolic systems

Author:

Floridia Giuseppe,Ragusa Maria Alessandra

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference22 articles.

1. Marino M, Maugeri A: Generalized Gagliardo--Nirenberg estimates and differentiability of the solutions to monotone nonlinear parabolic systems. J Global Optim 2008, 40: 185–196. 10.1007/s10898-007-9184-7

2. Ragusa MA: Local Hölder regularity for solutions of elliptic systems. Duke Math J 2002,113(2):385–397. 10.1215/S0012-7094-02-11327-1

3. Ragusa MA: Parabolic systems with non-continuous coefficients. Dynamical systems and differential equations. Discrete Contin Dyn Syst (suppl) 2003, 727–733.

4. Floridia G, Ragusa MA: Differentiability and partial Holder continuity of solutions of solutions of nonlinear elliptic systems. To appear in J Convex Anal 2012.,19(1):

5. Campanato S, Cannarsa P: Differentiability and partial Hölder continuity of the solutions of nonlinear elliptic systems of order 2 m with quadratic growth. Ann Scuola Norm Sup Pisa Cl Sci (4) 1981,8(2):285–309.

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