The paper proves that for any p, 1<p<2, and arbitrary function f belongin to Lp, with compact support,there exits a pair (L,u), L being a second order uniformly elliptic operator and u in the space W2,p, with compact support, such that Lu=f a.e. in the plane.
Elliptic equations with compactly supported solutions / Orazio Arena; Cristina Giannotti. - In: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. - ISSN 0304-9914. - STAMPA. - 50, no. 2:(2013), pp. 411-423.
Elliptic equations with compactly supported solutions
ARENA, ORAZIO;
2013
Abstract
The paper proves that for any p, 1
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