Existence of a renormalized solution to a nonlinear elliptic equation with L1-data in the space Rn

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Abstract

We consider a second-order quasilinear elliptic equation with an integrable right-hand side in the space  Rn. Restrictions on the structure of the equation are formulated in terms of a generalized N -function. In the nonreflexive Muzilak-Orlicz-Sobolev spaces, the existence of a renormalized solution in the space  Rn is proved.

About the authors

L. M. Kozhevnikova

Ufa University of Science and Technology; Elabuga Institute of Kazan Federal University

Author for correspondence.
Email: kosul@mail.ru
Ufa, Russia; Elabuga, Russia

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