Renormalized solutions of elliptic equations with variable exponents and general measure data

L. M. Kozhevnikova

Sbornik. Mathematics, Tome 211 (2020) no. 12, pp. 1737-1776

Résumé

A class of second-order elliptic equations with variable nonlinearity exponents and the right-hand side in the form of the general Radon measure with finite total variation is considered. The existence of a renormalized solution of the Dirichlet problem is proved as a consequence of stability with respect to the convergence of the right-hand side of the equation. Bibliography: 37 titles.

Détail

Keywords: quasilinear elliptic equation, renormalized solution, Radon measure, variable exponent, Dirichlet problem.

Bibliographie

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