We obtain integral representation formulae for functions which satisfy in the sense of distributions in , where μ is a positive Radon measure on and is a nonconstant real polynomial whose roots belong to the interval , , . Further, we apply these results to a number of nonhomogeneous higher order differential inequalities.

Representation formulae for nonhomogeneous differential operators and applications to PDEs

Lorenzo D'Ambrosio
;
2022-01-01

Abstract

We obtain integral representation formulae for functions which satisfy in the sense of distributions in , where μ is a positive Radon measure on and is a nonconstant real polynomial whose roots belong to the interval , , . Further, we apply these results to a number of nonhomogeneous higher order differential inequalities.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/403832
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