Continuity results for solutions of certain degenerate parabolic equations
Rendiconti del Seminario Matematico della Università di Padova, Tome 99 (1998), pp. 105-131. 
@article{RSMUP_1998__99__105_0,
     author = {Sargenti, Giulia},
     title = {Continuity results for solutions of certain degenerate parabolic equations},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {105--131},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {99},
     year = {1998},
     mrnumber = {1636591},
     zbl = {0902.35061},
     language = {en},
     url = {http://archive.numdam.org/item/RSMUP_1998__99__105_0/}
}
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Sargenti, Giulia. Continuity results for solutions of certain degenerate parabolic equations. Rendiconti del Seminario Matematico della Università di Padova, Tome 99 (1998), pp. 105-131. http://archive.numdam.org/item/RSMUP_1998__99__105_0/

[1] H.W. Alt - E. Di Benedetto, Non steady flow of water and oil through inhomogeneous porous media, Ann. Sc. Norm. Sup. Pisa, 12 (1985), pp. 335-392. | Numdam | MR | Zbl

[2] L. Caffarelli - L. C. EVANS, Continuity of the temperature in the two phase Stefan problem, Arch. Rat. Mech. Anal., 81 (1983), pp. 199-220. | MR | Zbl

[3] G. Chavent - J. JAFFRÈ, Mathematical Models and Finite Elements Methods for Reservoir Simulation, North-Holland (1986). | Zbl

[4] E. Di Benedetto, Continuity of weak solutions to certain singular parabolic equations, Ann. Mat. Pura Appl., 121 (1982), pp. 131-176. | MR | Zbl

[5] E. Di Benedetto, Degenerate Parabolic Equations, Springer-Verlag, New York (1993). | MR | Zbl

[6] E. Di Benedetto - V. Vespri, On the singular equation (β(u) t) = Δu, Arch. Rat. Mech. Anal., 132 (1995), pp. 247-309. | Zbl

[7] O.A. Ladyzhenskaya - N. A. SOLONNIKOV - N. N. URAL'TZEVA, Linear and quasilinear equations of parabolic type, Transl. Math. Mono., 23, A.M.S., Providence, Rhode Island (1969). | Zbl

[8] J.L. Lions, Quelques methodes de resolution des problemes aux limites non lineaires, Dunod, Paris (1969). | MR

[9] P. Marcellini, Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions, Arch. Rat. Mech. Anal., 105 (1989), pp. 267-284. | MR | Zbl

[10] P. Marcellini, Regularity and existence of solutions of elliptic equations with p, q growth conditions, J. Diff. Equations, 90 (1991), pp. 1-30. | MR | Zbl

[11] P. Marcellini, On the definition and the lower semicontinuity of certain quasiconvex integrals, Ann. Inst. H. Poincaré Analyse Non Linéaire, 3 (1986), pp. 391-409. | Numdam | MR | Zbl

[12] G.J. Minty, On a monotonicity method for the solution of non linear equations in Banach spaces, Proc. Nat. Acad. Sc. USA, 50 (1963), pp. 1038-1041. | MR | Zbl

[13] G.J. Minty, Monotone non linear operator in Hilbert space, Duke Math. J., 29 (1962), pp. 341-346. | MR | Zbl

[14] G. Sargenti - V. Vespri, Regularity results for multiphase Stefan-like equations, Proceedings of the IFIP Conference, to appear. | MR | Zbl

[15] K. Yosida, Functional Analysis, Grundleheren B, 123, Springer (1965). | Zbl

[16] W. Ziemer, Interior and boundary continuity of weak solutions of degenerate parabolic equations, Trans. Amer. Math. Soc., 271 (2) (1982), pp. 733-747. | MR | Zbl