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.
Keywords: p-Laplace equations, regularity of the solutions
@article{COCV_2018__24_2_849_0, 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://archive.numdam.org/articles/10.1051/cocv/2017040/} }
TY - JOUR AU - Riey, Giuseppe AU - Sciunzi, Berardino TI - A note on the boundary regularity of solutions to quasilinear elliptic equations JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2018 SP - 849 EP - 858 VL - 24 IS - 2 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2017040/ DO - 10.1051/cocv/2017040 LA - en ID - COCV_2018__24_2_849_0 ER -
%0 Journal Article %A Riey, Giuseppe %A Sciunzi, Berardino %T A note on the boundary regularity of solutions to quasilinear elliptic equations %J ESAIM: Control, Optimisation and Calculus of Variations %D 2018 %P 849-858 %V 24 %N 2 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2017040/ %R 10.1051/cocv/2017040 %G en %F COCV_2018__24_2_849_0
Riey, Giuseppe; Sciunzi, Berardino. A note on the boundary regularity of solutions to quasilinear elliptic equations. ESAIM: Control, Optimisation and Calculus of Variations, Volume 24 (2018) no. 2, pp. 849-858. doi : 10.1051/cocv/2017040. http://archive.numdam.org/articles/10.1051/cocv/2017040/
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