Weak solutions for generalized p-Laplacian systems via Young measures

1. A. Abassi, A. El Hachimi, A. Jamea, Entropy solutions to nonlinear Neumann problems with L¹-data, Int. J. Math. Statist. 2 (2008) 4-17.Search in Google Scholar

2. J. M. Ball, A version of the fundamental theorem for Young measures. In: PDEs and Continuum Models of Phase Transitions (Nice, 1988). Lecture Notes in Phys, 344 (1989) 207-215.10.1007/BFb0024945Search in Google Scholar

3. D. Breit, A. Cianchi, L. Diening, T. Kuusi, S. Schwarzaker, The p-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates, Nonlinear Analysis: Theory, Methods & Applications, 115(2017) 200–212.10.1016/j.na.2016.06.011Search in Google Scholar

4. E. DiBenedetto, J. Manfredi, On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems, American Journal of Mathematics, 115 (5) (1993) 1107-1134.10.2307/2375066Search in Google Scholar

5. G. Dolzmann, N. Hungerbühler, S. Müller, Nonlinear elliptic systems with measure valued right hand side. Math. Z, 226 (1997) 545-574.10.1007/PL00004354Search in Google Scholar

6. F. Duzaar, G. Mingione, Local Lipschitz regularity for degenerate elliptic systems, Ann. I. H. Poincaré AN 27 (2010) 1361-1396.10.1016/j.anihpc.2010.07.002Search in Google Scholar

7. LC. Evans, Weak Convergence Methods for Nonlinear Partial Differential Equations. Am. Math. Soc., New York 1990.10.1090/cbms/074Search in Google Scholar

8. N. Hungerbühler, A refinement of Ball’s theorem on Young measures, N.Y. J. Math, 3 (1997) 48-53.Search in Google Scholar

9. T. Iwaniec, Projections onto gradients fields and L^p-estimates for degenrated elliptic operators, Studia Mathematica, 75 (3) (1983) 293-312.10.4064/sm-75-3-293-312Search in Google Scholar

10. J. Kinuunen, S. Zhou, A local estimates for nonlinear equations with discontinuous coefficients, Commun. Partial Differential Equations 24 (11-12) (1999) 2043-2068.10.1080/03605309908821494Search in Google Scholar

11. G M. Lieberman, The natural generalizationj of the natural conditions of ladyzhenskaya and uraltseva for elliptic equations, Commun. In. Partial Differential Equations. 16(2&3) (1991) 311-361.10.1080/03605309108820761Search in Google Scholar

12. M. Struwe, Variational Methods, Springer Verlag Berlin, Heidelberg, New York, second edition 1996.Search in Google Scholar

13. E. Zeidler, Nonlinear functional analysis and its application, volume I. Springer, 1986.10.1007/978-1-4612-4838-5Search in Google Scholar