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Weak lower semicontinuity for non coercive polyconvex integrals
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Published/Copyright:
June 25, 2008
Abstract
We prove a lower semicontinuity theorem for a polyconvex functional of integral form, related to maps u : Ω ⊂ ℝn → ℝm in W1,n (Ω;ℝm) with n ≥ m ≥ 2, with respect to the weak W1,p-convergence for p > m – 1, without assuming any coercivity condition.
Keywords.: Vector-valued maps; Jacobian determinants; polyconvex integrals; lower semicontinuity; chain rule
Received: 2007-07-17
Revised: 2007-10-31
Published Online: 2008-06-25
Published in Print: 2008-June
© de Gruyter 2008
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Articles in the same Issue
- Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains
- Weak lower semicontinuity for non coercive polyconvex integrals
- Self-improving properties of weighted Hardy inequalities
- On a nonlinear fourth order elliptic system with critical growth in first order derivatives
Keywords for this article
Vector-valued maps;
Jacobian determinants;
polyconvex integrals;
lower semicontinuity;
chain rule
Articles in the same Issue
- Boundary behaviour of p-harmonic functions in domains beyond Lipschitz domains
- Weak lower semicontinuity for non coercive polyconvex integrals
- Self-improving properties of weighted Hardy inequalities
- On a nonlinear fourth order elliptic system with critical growth in first order derivatives
