## An Introduction to Variational Inequalities and Their ApplicationsThis unabridged republication of the 1980 text, an established classic in the field, is a resource for many important topics in elliptic equations and systems and is the first modern treatment of free boundary problems. Variational inequalities (equilibrium or evolution problems typically with convex constraints) are carefully explained in An Introduction to Variational Inequalities and Their Applications. They are shown to be extremely useful across a wide variety of subjects, ranging from linear programming to free boundary problems in partial differential equations. Exciting new areas like finance and phase transformations along with more historical ones like contact problems have begun to rely on variational inequalities, making this book a necessity once again. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

CL31_ch1 | 7 |

CL31_ch2 | 23 |

CL31_ch3 | 83 |

CL31_ch4 | 105 |

CL31_ch5 | 149 |

CL31_ch6 | 184 |

CL31_ch7 | 222 |

CL31_ch8 | 278 |

CL31_backmatter | 300 |

### Other editions - View all

An Introduction to Variational Inequalities and Their Applications David Kinderlehrer,Guido Stampacchia No preview available - 2000 |

### Common terms and phrases

a.e. in Q analytic assume aſu bilinear form boundary conditions boundary value problem bounded Brezis Chapter closed convex coincidence set compact conformal mapping consider constant convex set Corollary defined denote the solution differential equations Dirichlet problem domain dx dy exists a unique f in Q free boundary problem given grad Hä(Q Hence Hilbert space Hö(Q hodograph Hölder continuous Hölder's inequality inequality u e Kinderlehrer Legendre transform Lemma let F Let Q Let u e linear locally coercive mapping Math max(u maximum principle meas monotone neighborhood nonnegative obstacle problem Problem 1.2 proof of Theorem prove satisfies Section ſº dx solution to Problem Stampacchia Stefan problem subset supersolution Suppose Theorem 2.1 u e H'(Q unique solution vanishes variables variational inequality vector field weakly x e Q xe Q