GAMMA-CONVERGENCE OF INTEGRANDS WITH NON-STANDARD COERCIVITY AND GROWTH CONDITIONS

摘要

We establish the compactness relative to Γ-convergence for integrands satisfying a coer-civity and growth estimate with a variable exponent subject to the so-called logarithmic condition. In particular, standard functionals with the same exponents of coercivity and growth are included. We prove the complete integral representation for Γ-limit functionals. Bibliography: 20 titles.