## Applied Nonlinear AnalysisAdélia Sequeira, Hugo Beirão Veiga, Juha Hans Videman This book is meant as a present to honor Professor on the th occasion of his 70 birthday. It collects refereed contributions from sixty-one mathematicians from eleven countries. They cover many different areas of research related to the work of Professor including Navier-Stokes equations, nonlinear elasticity, non-Newtonian fluids, regularity of solutions of parabolic and elliptic problems, operator theory and numerical methods. The realization of this book could not have been made possible without the generous support of Centro de Matemática Aplicada (CMA/IST) and Fundação Calouste Gulbenkian. Special thanks are due to Dr. Ulrych for the careful preparation of the final version of this book. Last but not least, we wish to express our gratitude to Dr. for her invaluable assistance from the very beginning. This project could not have been successfully concluded without her enthusiasm and loving care for her father. On behalf of the editors ADÉLIA SEQUEIRA v honored by the Order of Merit of the Czech Republic by Václav Havel, President of the Czech Republic, on the October 28, 1998, Professor Emeritus of Mathematics at the Charles University in Prague, Presidential Research Professor at the Northern Illinois University and Doctor Honoris Causa at the Technical University of Dresden, has been enriching the Czech and world mathematics with his new ideas in the areas of partial differential equations, nonlinear functional analysis and applications of the both disciplines in continuum mechanics and hydrodynamics for more than forty years. |

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### Contents

CONTENTS | 1 |

Leonardi Salvatore Dipartimento di Matematica Viale A Doria | 6 |

Maly Jan Department KMA Charles University 186 75 Praha | 8 |

Copyright | |

10 other sections not shown

### Other editions - View all

Applied Nonlinear Analysis Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman Limited preview - 2007 |

Applied Nonlinear Analysis Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman No preview available - 2013 |

Applied Nonlinear Analysis Adélia Sequeira,Hugo Beirão da Veiga,Juha H. Videman No preview available - 2013 |

### Common terms and phrases

Anal Appl Applied Nonlinear Analysis approximate assume asymptotic bifurcation boundary conditions bounded domain coefficients compact consider contact problem continuous convergence convex correlations corresponding defined denote derivatives Dirichlet Dirichlet problem edited by Sequeira eigenvalue elliptic systems estimate exists exterior domain finite element flow fluid formulation global gradient Hardy inequality Hence Holder inequality holds homogeneous imbedding implies integral introduce Jb2 Jb2 L2-norms Lemma limit solution linear Lipschitz continuous lower semicontinuity Math Mathematical method monotonicity Moreover Navier-Stokes equations Necas non-Newtonian fluids nonlinear elliptic norm numerical obtain operator partial differential equations Plenum Publishers proof of Theorem properties Proposition prove Rational Mech regularity Remark satisfies sequence singular smooth Sobolev spaces solvability stationary Stokes problem symmetric tensor test functions Theorem 2.2 theory turbulence unique solution variational inequality vector velocity viscoelastic viscosity solutions weak solution weakly yields zero