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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 37
  3. Calculus of Variations and Partial Differential Equations : Volume 37, Issue 1-2, January 2010
  4. Quantitative isoperimetric inequalities for a class of nonconvex sets
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Calculus of Variations and Partial Differential Equations : Volume 56
Calculus of Variations and Partial Differential Equations : Volume 55
Calculus of Variations and Partial Differential Equations : Volume 54
Calculus of Variations and Partial Differential Equations : Volume 53
Calculus of Variations and Partial Differential Equations : Volume 52
Calculus of Variations and Partial Differential Equations : Volume 51
Calculus of Variations and Partial Differential Equations : Volume 50
Calculus of Variations and Partial Differential Equations : Volume 49
Calculus of Variations and Partial Differential Equations : Volume 48
Calculus of Variations and Partial Differential Equations : Volume 47
Calculus of Variations and Partial Differential Equations : Volume 46
Calculus of Variations and Partial Differential Equations : Volume 45
Calculus of Variations and Partial Differential Equations : Volume 44
Calculus of Variations and Partial Differential Equations : Volume 43
Calculus of Variations and Partial Differential Equations : Volume 42
Calculus of Variations and Partial Differential Equations : Volume 41
Calculus of Variations and Partial Differential Equations : Volume 40
Calculus of Variations and Partial Differential Equations : Volume 39
Calculus of Variations and Partial Differential Equations : Volume 38
Calculus of Variations and Partial Differential Equations : Volume 37
Calculus of Variations and Partial Differential Equations : Volume 37, Issue 3-4, March 2010
Calculus of Variations and Partial Differential Equations : Volume 37, Issue 1-2, January 2010
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials
Relaxation of signed integral functionals in BV
Maximal and minimal solutions of an Aronsson equation: L ∞ variational problems versus the game theory
An alternative approach to the Faber–Krahn inequality for Robin problems
A perturbation method for multiple sign-changing solutions
On certain minimax problems and Pontryagin’s maximum principle
Divergence-L q and divergence-measure tensor fields and gradient flows for linear growth functionals of maps into the unit sphere
Quantitative isoperimetric inequalities for a class of nonconvex sets
Differentiability and higher integrability results for local minimizers of splitting-type variational integrals in 2D with applications to nonlinear Hencky-materials
The harmonic mean curvature flow of nonconvex surfaces in $${\mathbb{R}^3}$$
Optimal boundary control with critical penalization for a PDE model of fluid–solid interactions
On the structure of solutions to a class of quasilinear elliptic Neumann problems. Part II
On a general family of nonautonomous elliptic and parabolic equations
Calculus of Variations and Partial Differential Equations : Volume 36
Calculus of Variations and Partial Differential Equations : Volume 35
Calculus of Variations and Partial Differential Equations : Volume 34
Calculus of Variations and Partial Differential Equations : Volume 33
Calculus of Variations and Partial Differential Equations : Volume 32
Calculus of Variations and Partial Differential Equations : Volume 31
Calculus of Variations and Partial Differential Equations : Volume 30
Calculus of Variations and Partial Differential Equations : Volume 29
Calculus of Variations and Partial Differential Equations : Volume 28
Calculus of Variations and Partial Differential Equations : Volume 27
Calculus of Variations and Partial Differential Equations : Volume 26
Calculus of Variations and Partial Differential Equations : Volume 25
Calculus of Variations and Partial Differential Equations : Volume 24
Calculus of Variations and Partial Differential Equations : Volume 23
Calculus of Variations and Partial Differential Equations : Volume 22
Calculus of Variations and Partial Differential Equations : Volume 21
Calculus of Variations and Partial Differential Equations : Volume 20
Calculus of Variations and Partial Differential Equations : Volume 19
Calculus of Variations and Partial Differential Equations : Volume 18
Calculus of Variations and Partial Differential Equations : Volume 17
Calculus of Variations and Partial Differential Equations : Volume 16
Calculus of Variations and Partial Differential Equations : Volume 15
Calculus of Variations and Partial Differential Equations : Volume 14
Calculus of Variations and Partial Differential Equations : Volume 13
Calculus of Variations and Partial Differential Equations : Volume 12
Calculus of Variations and Partial Differential Equations : Volume 11
Calculus of Variations and Partial Differential Equations : Volume 10
Calculus of Variations and Partial Differential Equations : Volume 9
Calculus of Variations and Partial Differential Equations : Volume 8
Calculus of Variations and Partial Differential Equations : Volume 7
Calculus of Variations and Partial Differential Equations : Volume 6
Calculus of Variations and Partial Differential Equations : Volume 5

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Quantitative isoperimetric inequalities for a class of nonconvex sets

Content Provider SpringerLink
Author Nguyen, Khai T. Colombo, Giovanni
Copyright Year 2009
Abstract Quantitative versions (i.e., taking into account a suitable “distance” of a set from being a sphere) of the isoperimetric inequality are obtained, in the spirit of Fuglede (Trans Am Math Soc 314:619–638, 1989) and Fusco et al. (Ann Math 168:941–980, 2008) for a class of not necessarily convex sets called φ-convex sets. Our work is based on geometrical results on φ-convex sets, obtained using methods of both nonsmooth analysis and geometric measure theory.
Ending Page 166
Page Count 26
Starting Page 141
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 1-2
Volume Number 37
Language English
Publisher Springer-Verlag
Publisher Date 2009-06-30
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Spherical deviation Internal cone condition Systems Theory, Control Theoretical, Mathematical and Computational Physics Absolutely continuous functions, functions of bounded variation External sphere condition Isoperimetric deficiency Elementary problems in Euclidean geometries Nonsmooth analysis Geometric measure and integration theory, integral and normal currents Fraenkel asymmetry Minimal surfaces Calculus of Variations and Optimal Control; Optimization Analysis Sets with positive reach
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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