Direct methods in the calculus of variations

By E. Giusti. 2003

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Local Hölder continuity for fractional nonlocal equations with general growth (2021, background): “We refer the reader to [9, 16,20] for the details.”
Gradient regularity in mixed local and nonlocal problems (2022, background): “36) and the classical Campanato-Meyers integral characterization of Hölder continuity (via a standard covering argument); see for instance [37] and Remark 4.”
Parabolic systems with polynomial growth and regularity (2011, background): “A general and updated introductory reference at this stage, for the elliptic case, could be [63] while classical treats are [39, 40].”
Hölder estimates for parabolic p(x, t)-Laplacian systems (2012, methodology): “In order to “re-absorb” certain terms, we will use the following iteration lemma, which is a standard tool and can for instance be found in [21].”
Regularity of minimizers under limit growth conditions (2017, neutral): “To prove Theorems 2.2 and 2.3 we will use the following classical result; see, e.g., [19].”