March 4th, 2020 at 12:00 will be a joint seminar of the department “Differential Equations” and the department “Equations of Mathematical Physics” on the topic “On strong solutions of nonlinear (semi-linear) elliptic equations of the second order”.

At the seminar, Doctor of Mathematical Sciences Rabil  Amanulla oglu Amanov  will make a report on this topic. During the report, when a certain growth condition is imposed on the nonlinear part, the existence of a strong solution of the second-order nonlinear elliptic equation in the Sobolev space   will be considered. The proof of existence is carried out if the solution belongs to a certain Lebesgue class with respect to the spatial variable. The considered method of  proof  belongs to S.I. Pokhozhaev. The aim of the study is to apply the results to parabolic equations.

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