TY - JOUR
T1 - Pointwise Inequalities for Elliptic Boundary Value Problems
AU - Luo, G.
AU - Maz’ya, V. G.
N1 - Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).
PY - 2015/10
Y1 - 2015/10
N2 - We introduce a new approach for obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar secondorder elliptic equation, the 3D Lamé system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied. Bibliography: 36 titles.
AB - We introduce a new approach for obtaining pointwise estimates for solutions of elliptic boundary value problems when the operator satisfies a certain type of weighted integral inequalities. The method is illustrated on several examples, including a scalar secondorder elliptic equation, the 3D Lamé system, and a scalar higher-order elliptic equation. The techniques can be extended to other elliptic boundary value problems provided that the corresponding weighted integral inequalities are satisfied. Bibliography: 36 titles.
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U2 - 10.1007/s10958-015-2572-5
DO - 10.1007/s10958-015-2572-5
M3 - RGC 21 - Publication in refereed journal
SN - 1072-3374
VL - 210
SP - 391
EP - 398
JO - Journal of Mathematical Sciences
JF - Journal of Mathematical Sciences
IS - 4
ER -