Geodesic
A note on the boundary regularity of solutions to quasilinear elliptic equations
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 849-858

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We study the summability up to the boundary of the second derivatives of solutions to a class of Dirichlet boundary value problems involving the p-Laplace operator. Our results are meaningful for the cases when the Hopf’s Lemma cannot be applied to ensure that there are no critical points of the solution on the boundary of the domain.

DOI : 10.1051/cocv/2017040
Classification : 35J92, 35B33, 35B06
Keywords: p-Laplace equations, regularity of the solutions

Riey, Giuseppe 1 ; Sciunzi, Berardino 1

1 
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     author = {Riey, Giuseppe and Sciunzi, Berardino},
     title = {A note on the boundary regularity of solutions to quasilinear elliptic equations},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {849--858},
     publisher = {EDP-Sciences},
     volume = {24},
     number = {2},
     year = {2018},
     doi = {10.1051/cocv/2017040},
     zbl = {1403.35118},
     mrnumber = {3816418},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2017040/}
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Riey, Giuseppe; Sciunzi, Berardino. A note on the boundary regularity of solutions to quasilinear elliptic equations. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 2, pp. 849-858. doi: 10.1051/cocv/2017040

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