[CITATION][C] Classical solutions of fully nonlinear, convex, second‐order elliptic equations
LC Evans - Communications on Pure and Applied Mathematics, 1982 - Wiley Online Library
LC Evans
Communications on Pure and Applied Mathematics, 1982•Wiley Online Library(1.1) F (D%)= O in 52 is called (uniform! y) elliptic if there exist constants 0< 8 5 8< 00 such
that (1.2) el [12 5 &,(r)[i [, S@[[I2, &,(r)= qi (r), F (0)= 0, for all 5 ER", r ER"'. Here F: Rn2+ R,
4..= a F/arq, D% denotes the collection of all second partial derivatives of the unknown
function u, and 52 is a bounded, smooth domain in R".
that (1.2) el [12 5 &,(r)[i [, S@[[I2, &,(r)= qi (r), F (0)= 0, for all 5 ER", r ER"'. Here F: Rn2+ R,
4..= a F/arq, D% denotes the collection of all second partial derivatives of the unknown
function u, and 52 is a bounded, smooth domain in R".
(1.1) F (D%)= O in 52 is called (uniform! y) elliptic if there exist constants 0< 8 5 8< 00 such that (1.2) el [12 5 &,(r)[i [, S@[[I2, &,(r)= qi (r), F (0)= 0, for all 5 E R", r E R"'. Here F: Rn2+ R, 4..= a F/arq, D% denotes the collection of all second partial derivatives of the unknown function u, and 52 is a bounded, smooth domain in R".