For any p in (1,2) and arbitrary f in L^p(R^2) with compact support, it is proved that there exists a pair (L, u), with L second order uniformly elliptic operator and u in W^{2,p}_0(R^2) such that L u = f a.e. in R^2.
Elliptic equations with compactly supported solutions
GIANNOTTI, Cristina
2013-01-01
Abstract
For any p in (1,2) and arbitrary f in L^p(R^2) with compact support, it is proved that there exists a pair (L, u), with L second order uniformly elliptic operator and u in W^{2,p}_0(R^2) such that L u = f a.e. in R^2.File in questo prodotto:
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