We study existence and uniqueness of Radon measure-valued solutions for a class of nonlinear elliptic equations in inhomogeneous media. Solutions are constructed by a regularization procedure which relies on a standard approximation of the measure data and satisfy both a persistence property and a compatibility condition prescribing the structure of their concentrated and diffuse parts with respect to a suitable capacity.
Existence and uniqueness for a class of nonlinear elliptic equations with measure data / Porzio, M. M.; Smarrazzo, F.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2021). [10.1007/s10231-021-01126-1]
Existence and uniqueness for a class of nonlinear elliptic equations with measure data
Porzio M. M.;Smarrazzo F.
2021
Abstract
We study existence and uniqueness of Radon measure-valued solutions for a class of nonlinear elliptic equations in inhomogeneous media. Solutions are constructed by a regularization procedure which relies on a standard approximation of the measure data and satisfy both a persistence property and a compatibility condition prescribing the structure of their concentrated and diffuse parts with respect to a suitable capacity.| File | Dimensione | Formato | |
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