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Geometric properties for parabolic and elliptic PDE's

Overview of attention for book
Cover of 'Geometric properties for parabolic and elliptic PDE's'

Table of Contents

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    Book Overview
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    Chapter 1 Stability and Instability of Group Invariant Asymptotic Profiles for Fast Diffusion Equations
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    Chapter 2 A Family of Hardy-Rellich Type Inequalities Involving the L 2 -Norm of the Hessian Matrices
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    Chapter 3 Power Concavity for Solutions of Nonlinear Elliptic Problems in Convex Domains
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    Chapter 4 The Heart of a Convex Body
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    Chapter 5 A Viscosity Equation for Minimizers of a Class of Very Degenerate Elliptic Functionals
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    Chapter 6 Kato’s Inequality in the Half Space: An Alternative Proof and Relative Improvements
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    Chapter 7 Sharp Bounds for the p -Torsion of Convex Planar Domains
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    Chapter 8 Geometric Analysis of Fractional Phase Transition Interfaces
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    Chapter 9 Existence of Solutions to Some Classical Variational Problems
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    Chapter 10 Existence of Minimizers for Some Coupled Nonlinear Schrödinger Equations
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    Chapter 11 Decay Rate of L q Norms of Critical Schrödinger Heat Semigroups
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    Chapter 12 Hadamard Variation for Electromagnetic Frequencies
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    Chapter 13 Global Structure of the Solution Set for a Semilinear Elliptic Problem Related to the Liouville Equation on an Annulus
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    Chapter 14 A Priori Estimates and Comparison Principle for Some Nonlinear Elliptic Equations
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    Chapter 15 Existence and Uniqueness of the n -Dimensional Helfrich Flow
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    Chapter 16 Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth
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    Chapter 17 Stationary Level Surfaces and Liouville-Type Theorems Characterizing Hyperplanes
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    Chapter 18 Nonexistence of Multi-bubble Solutions for a Higher Order Mean Field Equation on Convex Domains
Attention for Chapter 4: The Heart of a Convex Body
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Chapter title
The Heart of a Convex Body
Chapter number 4
Book title
Geometric Properties for Parabolic and Elliptic PDE's
Published in
arXiv, January 2013
DOI 10.1007/978-88-470-2841-8_4
Book ISBNs
978-8-84-702840-1, 978-8-84-702841-8
Authors

Lorenzo Brasco, Rolando Magnanini, Brasco, Lorenzo, Magnanini, Rolando

X Demographics

X Demographics

The data shown below were collected from the profiles of 2 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 4 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 4 100%

Demographic breakdown

Readers by professional status Count As %
Professor 3 75%
Student > Bachelor 1 25%
Readers by discipline Count As %
Mathematics 4 100%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 1. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 28 August 2014.
All research outputs
#18,304,874
of 22,663,150 outputs
Outputs from arXiv
#530,355
of 928,104 outputs
Outputs of similar age
#217,852
of 280,557 outputs
Outputs of similar age from arXiv
#2,111
of 5,070 outputs
Altmetric has tracked 22,663,150 research outputs across all sources so far. This one is in the 11th percentile – i.e., 11% of other outputs scored the same or lower than it.
So far Altmetric has tracked 928,104 research outputs from this source. They receive a mean Attention Score of 3.9. This one is in the 28th percentile – i.e., 28% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 280,557 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 11th percentile – i.e., 11% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 5,070 others from the same source and published within six weeks on either side of this one. This one is in the 37th percentile – i.e., 37% of its contemporaries scored the same or lower than it.