## Journal of Partial Differential Equations, Volume 7 |

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### Contents

Existence and uniqueness of solutions of a class of singular parabolic equations | 1 |

Existence and regularity of solutions of a nonlinear nonuniformly elliptic system arising | 19 |

Existence of a weak solution for the phase change problem with Joules heating | 35 |

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16 other sections not shown

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Academic Publishers Vol.7 assume assumptions asymptotic Banach space boundary conditions boundedness Cauchy problem coefficients compact set completes the proof consider converges defined definition denote depends equilibrium solution existence and uniqueness exists a constant exists a subsequence following problem free boundary global solution harmonic function Hence Holder continuity holds hyperbolic systems implies inequality initial value International Academic Publishers Key Words Math Mathematics maximum principle Monge-Ampere equations monotone Moreover nodal sets nonlinear nonnegative norm obtain paper parabolic equations parabolic Q-minima partial differential equations porous medium positive constant priori estimates proof of Theorem Proposition Q-minimum quasilinear respectively Riemannian manifold second order Section smooth solutions solution of 1.1 solution of problem solvability Stefan problem Suppose Theorem 4.1 thermistor transform uniformly bounded unique solution unitary representations vector weak solutions zero Zhengzhou University