TY - JOUR
T1 - Erratum to
T2 - On the viscosity solutions to Trudinger’s equation (Nonlinear Differential Equations and Applications NoDEA, (2015), 22, 5, (1089-1114), 10.1007/s00030-015-0315-4)
AU - Bhattacharya, Tilak
AU - Marazzi, Leonardo
N1 - Publisher Copyright:
©, 2016 Springer International Publishing.
PY - 2016/12/1
Y1 - 2016/12/1
N2 - This note corrects the construction of a super-solution in Part II of Section 6 for the case 2 ≤ p ≤ n. Please refer to the original article for this part of the discussion and the equation numbers. Let h be as defined in (1.3), M = supPT h and m = infPT h. We made use of scaling to render the second term on the left side of (6.9) small. However, the condition in (6.13), i.e, (Formula presented.), for small (Formula presented.), holds if log[(M + 2ε)/(h(y, s) + 2ε)] < 1. Since ε > 0 is small, M/m ≤ e. In this note, we provide an alternative that removes this restriction.
AB - This note corrects the construction of a super-solution in Part II of Section 6 for the case 2 ≤ p ≤ n. Please refer to the original article for this part of the discussion and the equation numbers. Let h be as defined in (1.3), M = supPT h and m = infPT h. We made use of scaling to render the second term on the left side of (6.9) small. However, the condition in (6.13), i.e, (Formula presented.), for small (Formula presented.), holds if log[(M + 2ε)/(h(y, s) + 2ε)] < 1. Since ε > 0 is small, M/m ≤ e. In this note, we provide an alternative that removes this restriction.
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U2 - 10.1007/s00030-016-0423-9
DO - 10.1007/s00030-016-0423-9
M3 - Comment/debate
AN - SCOPUS:84999670148
SN - 1021-9722
VL - 23
JO - Nonlinear Differential Equations and Applications
JF - Nonlinear Differential Equations and Applications
IS - 6
M1 - 68
ER -