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Contemporary Research in Elliptic PDEs and Related Topics

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Cover of 'Contemporary Research in Elliptic PDEs and Related Topics'

Table of Contents

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    Book Overview
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    Chapter 1 Getting Acquainted with the Fractional Laplacian
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    Chapter 2 Dirichlet Problems for Fully Nonlinear Equations with “Subquadratic” Hamiltonians
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    Chapter 3 Monotonicity Formulas for Static Metrics with Non-zero Cosmological Constant
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    Chapter 4 Introduction to Controllability of Nonlinear Systems
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    Chapter 5 Introduction to Variational Methods for Viscous Ergodic Mean-Field Games with Local Coupling
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    Chapter 6 Flatness Results for Nonlocal Phase Transitions
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    Chapter 7 Fractional De Giorgi Classes and Applications to Nonlocal Regularity Theory
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    Chapter 8 Harnack and Pointwise Estimates for Degenerate or Singular Parabolic Equations
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    Chapter 9 Lectures on Curvature Flow of Networks
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    Chapter 10 Maximum Principles at Infinity and the Ahlfors-Khas’minskii Duality: An Overview
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    Chapter 11 Singularities in the Calculus of Variations
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    Chapter 12 Comparison Among Several Planar Fisher-KPP Road-Field Systems
Attention for Chapter 3: Monotonicity Formulas for Static Metrics with Non-zero Cosmological Constant
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