Lower semicontinuity and relaxation for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth

Related Items

Weak convergence theory for strong materials with \(p(x)\)-growth, Closed 𝓐-pQuasiconvexity and Variational Problems with Extended Real-Valued Integrands, The theorem on convergence with a functional for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth

Cites Work

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Integral functionals with \(p(x)\)- and \(p(x,u)\)-growth
Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
Young measure approach to characterization of behaviour of integral functionals on weakly convergent sequences by means of their integrands
Gradient Young measures generated by sequences in Sobolev spaces
Relaxation of convex functionals: the gap problem
Attainment and relaxation results in special classes of deformations
A new approach to Young measure theory, relaxation and convergence in energy
Elliptic equations and systems with nonstandard growth conditions: existence, uniqueness and localization properties of solutions
On the density of smooth functions in Sobolev-Orlicz spaces
Biting theorems for Jacobians and their applications
Quasi-convexity and the lower semicontinuity of multiple integrals
Lower semicontinuity of multiple integrals and the Biting Lemma
Remarks on Chacon's Biting Lemma
The effective bulk energy of the relaxed energy of multiple integrals below the growth exponent
Rank-one convexity does not imply quasiconvexity
Integral representation and Γ-convergence of variational integrals withp(x)-growth
Intégrandes normales et mesures paramétrées en calcul des variations
Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration
Young Measures as Measurable Functions and Their Applications to Variational Problems
Semicontinuity problems in the calculus of variations
Direct methods in the calculus of variations