Some of recent developments, including recent results, ideas, techniques, and approaches, in the study of degenerate partial differential equations are surveyed and analyzed. Several examples of nonlinear degenerate, even mixed, partial differential equations, are prese... View more
 R. Abraham and J. E. Marsden, Foundations of Mechanics, Benjamin-Cummings: London, 1978.
 G. Alberti and S. Mu¨ller, A new approach to variational problems with multiple scales, Comm. Pure Appl. Math. 54 (2001), 761-825.
 H. W. Alt and L. A. Caffarelli, Existence and regularity for a minimum problem with free boundary, J. Reine Angew. Math. 325 (1981), 105-144.
 H. W. Alt, L. A. Caffarelli, and A. Friedman, A free-boundary problem for quasilinear elliptic equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 11 (1984), 1-44; Compressible flows of jets and cavities, J. Diff. Eqs. 56 (1985), 82-141.
 B. Andreianov, M. Bendahmane, and K. H. Karlsen, Discrete duality finite volume schemes for doubly nonlinear degenerate hyperbolic-parabolic equations, J. Hyperbolic Differ. Equ. 7 (2010), 1-67.
 M. Bae, G.-Q. Chen, and M. Feldman, Regularity of solutions of regular shock reflection by wedges, Invent. Math. 175 (2009), 505-543.
 J. M. Ball, A version of the fundamental theorem for Young measures, Lecture Notes in Phys. 344, pp. 207-215, Springer: Berlin, 1989.
 G. Barenblatt, On one class of the on-dimensional problem of non-stationary filtration of a gas in a porous medium, Prikl. Mat. i Mekh. 17 (1953), 739-742.
 G. Ben-Dor, Shock Wave Reflection Phenomena, 2nd Edition, Springer-Verlag: New York, 2007.
 M. Bendahmane and K. H. Karlsen, Renormalized entropy solutions for quasi-linear anisotropic degenerate parabolic equations, SIAM J. Math. Anal. 36 (2004), 405-422.