A second order, non variational, elliptic operator L and a function v are constructed in R^3 with the following properties: the operator L is uniformly elliptic, without zero order term and smooth almost everywhere in R^3 ; the function v is in W^{2,p}(R^3) (1<p<3), solves the equation L v=0 in R^3 and has compact support but it is not identically zero.
A compactly supported solution to a three dimensional uniformily elliptic equation without zero order term
GIANNOTTI, Cristina
2004-01-01
Abstract
A second order, non variational, elliptic operator L and a function v are constructed in R^3 with the following properties: the operator L is uniformly elliptic, without zero order term and smooth almost everywhere in R^3 ; the function v is in W^{2,p}(R^3) (1File in questo prodotto:
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