A Regularity Theory for Degenerate Vector Valued Variational Inequalities

A Regularity Theory for Degenerate Vector Valued Variational Inequalities PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 11

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A Regularity Theory for Degenerate Vector Valued Variational Inequalities

A Regularity Theory for Degenerate Vector Valued Variational Inequalities PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 11

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An Introduction to Variational Inequalities and Their Applications

An Introduction to Variational Inequalities and Their Applications PDF Author: David Kinderlehrer
Publisher: SIAM
ISBN: 0898714664
Category : Mathematics
Languages : en
Pages : 328

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Book Description
Unabridged republication is a resource for topics in elliptic equations and systems and free boundary problems.

Regularity of Solutions of Degenerate Variational Inequalities

Regularity of Solutions of Degenerate Variational Inequalities PDF Author: Jun Mu
Publisher:
ISBN:
Category :
Languages : en
Pages : 152

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Topics in Modern Regularity Theory

Topics in Modern Regularity Theory PDF Author: Giuseppe Mingione
Publisher: Springer Science & Business Media
ISBN: 887642427X
Category : Mathematics
Languages : en
Pages : 211

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Book Description
This book contains lecture notes of a series of courses on the regularity theory of partial differential equations and variational problems, held in Pisa and Parma in the years 2009 and 2010. The contributors, Nicola Fusco, Tristan Rivière and Reiner Schätzle, provide three updated and extensive introductions to various aspects of modern Regularity Theory concerning: mathematical modelling of thin films and related free discontinuity problems, analysis of conformally invariant variational problems via conservation laws, and the analysis of the Willmore functional. Each contribution begins with a very comprehensive introduction, and is aimed to take the reader from the introductory aspects of the subject to the most recent developments of the theory.

A Regularity Theory for a More General Class of Quasilinear Parabolic Partial Differential Equations and Variational Inequalities

A Regularity Theory for a More General Class of Quasilinear Parabolic Partial Differential Equations and Variational Inequalities PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 33

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Mathematical Reviews

Mathematical Reviews PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1164

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Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions

Convex Variational Problems with Linear, Nearly Linear And/or Anisotropic Growth Conditions PDF Author: Michael Bildhauer
Publisher: Springer Science & Business Media
ISBN: 9783540402985
Category : Mathematics
Languages : en
Pages : 232

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Book Description
The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.

Annals of Differential Equations

Annals of Differential Equations PDF Author:
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 632

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Topics in the Calculus of Variations

Topics in the Calculus of Variations PDF Author: Martin Fuchs
Publisher: Advanced Lectures in Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 160

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Book Description
This book illustrates two basic principles in the calculus of variations which are the question of existence of solutions and closely related the problem of regularity of minimizers. Chapter one studies variational problems for nonquadratic energy functionals defined on suitable classes of vectorvalued functions where also nonlinear constraints are incorporated. Problems of this type arise for mappings between Riemannian manifolds or in nonlinear elasticity. Using direct methods the existence of generalized minimizers is rather easy to establish and it is then shown that regularity holds up to a set of small measure. Chapter two contains a short introduction into Geometric Measure Theory which serves as a basis for developing an existence theory for (generalized) manifolds with prescribed mean curvature form and boundary in arbitrary dimensions and codimensions. One major aspect of the book is to concentrate on techniques and to present methods which turn out to be useful for applications in regularity theorems as well as for existence problems.

CMUC

CMUC PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 784

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