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  1. Calculus of Variations and Partial Differential Equations
  2. Calculus of Variations and Partial Differential Equations : Volume 38
  3. Calculus of Variations and Partial Differential Equations : Volume 38, Issue 1-2, May 2010
  4. Jacobians of Sobolev homeomorphisms
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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 38, Issue 3-4, July 2010
Calculus of Variations and Partial Differential Equations : Volume 38, Issue 1-2, May 2010
An upper bound of the total Q-curvature and its isoperimetric deficit for higher-dimensional conformal Euclidean metrics
On the concentration-compactness phenomenon for the first Schrodinger eigenvalue
Darboux transforms and spectral curves of Hamiltonian stationary Lagrangian tori
Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations
Radial and non radial solutions for Hardy–Hénon type elliptic systems
Domain branching in uniaxial ferromagnets: asymptotic behavior of the energy
Weak convergence of currents and cancellation
A smooth global branch of solutions for a semilinear elliptic equation on $${\mathbb{R}^N}$$
Jacobians of Sobolev homeomorphisms
Gamma-convergence and the emergence of vortices for Ginzburg–Landau on thin shells and manifolds
Calculus of Variations and Partial Differential Equations : Volume 37
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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Jacobians of Sobolev homeomorphisms

Content Provider SpringerLink
Author Malý, Jan Hencl, Stanislav
Copyright Year 2009
Abstract Let $${\Omega\subset\mathbb{R}^{n}}$$ be a domain. We show that each homeomorphism f in the Sobolev space $${W^{1,1}_{\rm loc}(\Omega,\mathbb{R}^{n})}$$ satisfies either J f ≥ 0 a.e or J f ≤ 0 a.e. if n = 2 or n = 3. For n > 3 we prove the same conclusion under the stronger assumption that $${f\in W^{1,s}_{\rm loc}(\Omega,\mathbb{R}^{n})}$$ for some s > [n/2] (or in the setting of Lorentz spaces).
Ending Page 242
Page Count 10
Starting Page 233
File Format PDF
ISSN 09442669
e-ISSN 14320835
Journal Calculus of Variations and Partial Differential Equations
Issue Number 1-2
Volume Number 38
Language English
Publisher Springer-Verlag
Publisher Date 2009-10-30
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems Implicit function theorems, Jacobians, transformations with several variables Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Homeomorphism Theoretical, Mathematical and Computational Physics Analysis Jacobian Sobolev mapping Orientation
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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