Integral Functionals and the Gap Problem: Sharp Bounds for Relaxation and Energy Concentration
From MaRDI portal
Publication:5317396
DOI10.1137/S0036141003424113zbMath1080.49014OpenAlexW2059861409WikidataQ58880893 ScholiaQ58880893MaRDI QIDQ5317396
Domenico Mucci, Giuseppe Mingione
Publication date: 16 September 2005
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036141003424113
Methods involving semicontinuity and convergence; relaxation (49J45) Optimization of shapes other than minimal surfaces (49Q10)
Related Items
Sharp regularity for functionals with (\(p\),\(q\)) growth, An obstacle problem and superharmonic functions with nonstandard growth, An optimal design problem with non-standard growth and no concentration effects, A chromaticity-brightness model for color images denoising in a Meyer's ``\(u + v\) framework, Weak convergence theory for strong materials with \(p(x)\)-growth, Integral functionals with \(p(x)\)- and \(p(x,u)\)-growth, Lower semicontinuity and relaxation for free discontinuity functionals with non-standard growth, Lower semicontinuity for higher order integrals below the growth exponent, \( \Gamma \)-convergence for power-law functionals with variable exponents, Lower semicontinuity and relaxation for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth, Compact embedding from \(W_0^{1,2}(\Omega)\) to \(L^{q(x)}(\Omega )\) and its application to nonlinear elliptic boundary value problem with variable critical exponent, Regularity of minima: an invitation to the dark side of the calculus of variations., Regularity for double phase variational problems, The theorem on convergence with a functional for integral functionals with \(p(x)\)- and \(p(x, u)\)-growth, Non-autonomous functionals, borderline cases and related function classes, Relaxation for optimal design problems with non-standard growth, A necessary and sufficient condition for lower semicontinuity
