Partial regularity for variational integrals with $(s,\mu ,q)$–Growth

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C1,α-solutions to non-autonomous anisotropic variational problems (2005, methodology): “Let us give a short comment: if we follow the arguments from [ 3 ], Sect.”
On the Dirichlet problem for variational integrals in BV (2012, background): “Very similar degeneration phenomena have been studied in terms of Bernstein’s genre [13, 80] and in connection with (p, q)-growth conditions [57, 58, 59, 72, 33, 20, 34, 35, 60, 76, 77] and the L logL-energy [38, 63, 36].”
Regularity of Relaxed Minimizers of Quasiconvex Variational Integrals with (p, q)-growth (2009, background): “with a particular structure and later in [39] for general convex integrands satisfying (1.2) with 2 p q 11 ] assuming just 1 < p q < n+2 n p for the exponents.”
Regularity results for a class of quasiconvex functionals with nonstandard growth (2001, unknown): “Most of these difficulties are present already in the convex case, which happens more frequently in the applications (we note that all the convex vector-valued cases under non standard growth considered in the literature, such as [AF3],[FS],[EM],[ BF ], are concerned with an integrand depending only”
Regularity of minima: An invitation to the dark side of the calculus of variations (2006, background): “I refer to the papers [138, 113, 38, 39, 40], for partial regularity results under (p, q)-growth conditions.”