Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 156-168
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One constructs examples of strongly elliptic second-order differential equations in the divergence form with measurable bounded complex coefficients in $\mathbb R^n$, $n\ge3$, whose generalized solutions are not bounded in any neighborhood of the origin.
@article{ZNSL_1982_115_a12,
author = {V. G. Maz'ya and S. A. Nazarov and B. A. Plamenevskii},
title = {Absence of {De} {Giorgi-type} theorems for strongly elliptic equations with complex coefficients},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {156--168},
year = {1982},
volume = {115},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a12/}
}
TY - JOUR AU - V. G. Maz'ya AU - S. A. Nazarov AU - B. A. Plamenevskii TI - Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients JO - Zapiski Nauchnykh Seminarov POMI PY - 1982 SP - 156 EP - 168 VL - 115 UR - http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a12/ LA - ru ID - ZNSL_1982_115_a12 ER -
%0 Journal Article %A V. G. Maz'ya %A S. A. Nazarov %A B. A. Plamenevskii %T Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients %J Zapiski Nauchnykh Seminarov POMI %D 1982 %P 156-168 %V 115 %U http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a12/ %G ru %F ZNSL_1982_115_a12
V. G. Maz'ya; S. A. Nazarov; B. A. Plamenevskii. Absence of De Giorgi-type theorems for strongly elliptic equations with complex coefficients. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 14, Tome 115 (1982), pp. 156-168. http://geodesic.mathdoc.fr/item/ZNSL_1982_115_a12/