TY - JOUR
T1 - A Weak Comparison Principle for Some Quasilinear Elliptic Operators
T2 - It Compares Functions Belonging to Different Spaces
AU - Unai, Akihito
N1 - Publisher Copyright:
© 2018, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
PY - 2018/8/1
Y1 - 2018/8/1
N2 - We shall prove a weak comparison principle for quasilinear elliptic operators −div(a(x,∇u)) that includes the negative p-Laplace operator, where a: × ℝN → ℝN satisfies certain conditions frequently seen in the research of quasilinear elliptic operators. In our result, it is characteristic that functions which are compared belong to different spaces.
AB - We shall prove a weak comparison principle for quasilinear elliptic operators −div(a(x,∇u)) that includes the negative p-Laplace operator, where a: × ℝN → ℝN satisfies certain conditions frequently seen in the research of quasilinear elliptic operators. In our result, it is characteristic that functions which are compared belong to different spaces.
KW - 35B51
KW - 35J25
KW - 35J62
KW - p-Laplace operator
KW - quasilinear elliptic operator
KW - weak comparison principle
UR - http://www.scopus.com/inward/record.url?scp=85051488901&partnerID=8YFLogxK
U2 - 10.21136/AM.2018.0126-18
DO - 10.21136/AM.2018.0126-18
M3 - Article
AN - SCOPUS:85051488901
SN - 0862-7940
VL - 63
SP - 483
EP - 498
JO - Applications of Mathematics
JF - Applications of Mathematics
IS - 4
ER -