Volume 2 2013

Geometric Properties for Parabolic and Elliptic PDE's

Editors:

ISBN: 978-88-470-2840-1 (Print) 978-88-470-2841-8 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-VIII

  2. No Access

    Book Chapter

    Pages 1-16

    Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations

  3. No Access

    Book Chapter

    Pages 17-33

    A Family of Hardy-Rellich Type Inequalities Involving the L 2-Norm of the Hessian Matrices

  4. No Access

    Book Chapter

    Pages 35-48

    Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains

  5. No Access

    Book Chapter

    Pages 49-66

    The Heart of a Convex Body

  6. No Access

    Book Chapter

    Pages 67-83

    A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals

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    Book Chapter

    Pages 85-96

    Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements

  8. No Access

    Book Chapter

    Pages 97-115

    Sharp Bounds for the p-Torsion of Convex Planar Domains

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    Book Chapter

    Pages 117-130

    Geometric Analysis of Fractional Phase Transition Interfaces

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    Book Chapter

    Pages 131-142

    Existence of Solutions to Some Classical Variational Problems

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    Book Chapter

    Pages 143-164

    Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations

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    Book Chapter

    Pages 165-178

    Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups

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    Book Chapter

    Pages 179-199

    Hadamard Variation for Electromagnetic Frequencies

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    Book Chapter

    Pages 201-222

    Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus

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    Book Chapter

    Pages 223-235

    A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations

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    Book Chapter

    Pages 237-250

    Existence and Uniqueness of the n-Dimensional Helfrich Flow

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    Book Chapter

    Pages 251-267

    Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth

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    Book Chapter

    Pages 269-282

    Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes

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    Book Chapter

    Pages 283-292

    Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains