Correction and addendum to “Boundary regularity of minimizers of p(x)-energy functionals” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33 (2) (2016) 451–476]

Maria Alessandra Ragusa; Atsushi Tachikawa

doi:10.1016/j.anihpc.2017.09.004

JournalsaihpcVol. 34, No. 6pp. 1633–1637

Correction and addendum to “Boundary regularity of minimizers of p(x)-energy functionals” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33 (2) (2016) 451–476]

Maria Alessandra Ragusa
Dipartimento di Matematica e Informatica, Universitá di Catania, Viale Andrea Doria, 6-95125 Catania, Italy
Atsushi Tachikawa
Department of Mathematics, Faculty of Science and Technology, Tokyo University of Science, Noda, Chiba, 278-8510, Japan

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Abstract

In the paper [1] “Boundary regularity of minimizers of $p (x)$ -energy functionals”, some modifications are needed.

The exponent $p_{2} = p_{2} (2 R)$ in the statement of Theorem 2.6 should be $p_{2} (ρ)$ . According to this correction, we should modify the proof of Theorem 3.2.
In Theorem 1.1, the domain Ω is assumed to have the Lipschitz boundary ∂Ω. However, we need to assume that ∂Ω is in the class $C^{1}$ .

Link to the paper corrected hereby.

Cite this article

Maria Alessandra Ragusa, Atsushi Tachikawa, Correction and addendum to “Boundary regularity of minimizers of p(x)-energy functionals” [Ann. Inst. Henri Poincaré, Anal. Non Linéaire 33 (2) (2016) 451–476]. Ann. Inst. H. Poincaré Anal. Non Linéaire 34 (2017), no. 6, pp. 1633–1637

DOI 10.1016/J.ANIHPC.2017.09.004