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) (1
2004
262
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/115173
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