Seminars: L. M. Kozhevnikova, On solutions of nonlinear elliptic equations with $L

SEMINARS


Scientific seminar on the differential and functional differential equations February 29, 2024 12:00, Moscow, st. Ordzhonikidze 3, room. 458

On solutions of nonlinear elliptic equations with $L_1$-data in $R^n$-space L. M. Kozhevnikova Sterlitamak branch of the Ufa University of Science and Technology
https://youtube.com/watch?v=gy1IZUu3PwA Abstract: Quasilinear elliptic equations of second order with summable right-hand side are considered in $R^n$-space. Restrictions on the structure of the equations are formulated in terms of a generalized $N$-function. The existence and uniqueness of entropic and renormalized solutions are proved in non-reflexive Muzilak-Orlich-Sobolev spaces. The equivalence of entropic and renormalized solutions of the considered equations in the $R^n$-space is established.