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Calculus of Variations and Partial Differential Equations

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Cover of 'Calculus of Variations and Partial Differential Equations'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to Part I
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    Chapter 2 Geometric evolution problems, distance function and viscosity solutions
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    Chapter 3 Variational models for phase transitions, an approach via Γ -convergence
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    Chapter 4 Some aspects of De Giorgi’s barriers for geometric evolutions
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    Chapter 5 Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth
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    Chapter 6 Free discontinuity problems and their non-local approximation
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    Chapter 7 Introduction to Part II
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    Chapter 8 Degree theory on convex sets and applications to bifurcation
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    Chapter 9 Nonlinear elliptic equations involving critical Sobolev exponents
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    Chapter 10 On the existence and multiplicity of positive solutions for semilinear mixed and Neumann elliptic problems
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    Chapter 11 Solitons and Relativistic Dynamics
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    Chapter 12 An algebraic approach to nonstandard analysis
Attention for Chapter 5: Partial Regularity for Minimizers of Free Discontinuity Problems with p-th Growth
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