TY - JOUR
T1 - A remark on the Sobolev regularity of classical solutions of strongly elliptic equations
AU - Milani, Albert
PY - 1998/1/1
Y1 - 1998/1/1
N2 - We prove that C2,α (Ω̄) solutions of problem (1.2) below are in Hm+2(Ω) for all m ∈ IN, if f and the coefficients are in Hm(Ω) ∩ C0,α(Ω̄). Previously, this result was explicitly known only if m > n/2 (or if m = 0). A similar result holds for the quasi-linear equation (1.11) below.
AB - We prove that C2,α (Ω̄) solutions of problem (1.2) below are in Hm+2(Ω) for all m ∈ IN, if f and the coefficients are in Hm(Ω) ∩ C0,α(Ω̄). Previously, this result was explicitly known only if m > n/2 (or if m = 0). A similar result holds for the quasi-linear equation (1.11) below.
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U2 - 10.1002/mana.19981900111
DO - 10.1002/mana.19981900111
M3 - Article
AN - SCOPUS:0005637192
SN - 0025-584X
VL - 190
SP - 203
EP - 219
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
ER -