A-quasiconvexity : weak-star convergence and the gap
Irene Fonseca, Giovanni Leoni, Stefan Müller (2004)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “A-quasiconvexity : relaxation and homogenization”
A-quasiconvexity : weak-star convergence and the gap
Existence of solutions for a class of elliptic systems in involving the -Laplacian.
Ogras, S., Mashiyev, R.A., Avci, M., Yucedag, Z. (2008)
Journal of Inequalities and Applications [electronic only]
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Integral representation and -convergence of variational integrals with -growth
Alessandra Coscia, Domenico Mucci (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study the integral representation properties of limits of sequences of integral functionals like under nonstandard growth conditions of -type: namely, we assume that Under weak assumptions on the continuous function , we prove -convergence to integral functionals of the same type. We also analyse the case of integrands depending explicitly on ; finally we weaken the assumption allowing to be discontinuous on nice sets.
A positive solution for an asymptotically linear elliptic problem on autonomous at infinity
Louis Jeanjean, Kazunaga Tanaka (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we establish the existence of a positive solution for an asymptotically linear elliptic problem on . The main difficulties to overcome are the lack of a priori bounds for Palais–Smale sequences and a lack of compactness as the domain is unbounded. For the first one we make use of techniques introduced by Lions in his work on concentration compactness. For the second we show how the fact that the “Problem at infinity” is autonomous, in contrast to just periodic, can be...
Homogenization of variational problems in manifold valued Sobolev spaces
Jean-François Babadjian, Vincent Millot (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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Homogenization of integral functionals is studied under the constraint that admissible maps have to take their values into a given smooth manifold. The notion of tangential homogenization is defined by analogy with the tangential quasiconvexity introduced by Dacorogna [ (1999) 185–206]. For energies with superlinear or linear growth, a -convergence result is established in Sobolev spaces, the homogenization problem in the space of functions of bounded variation being the object of...
On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth.
Souto, Marco A. S. (2002)
Abstract and Applied Analysis
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