Nonlinear partial differential equations (June 23–27, 2025, International Mathematical Center "Sirius")
The conference covers a wide range of issues related to the study of nonlinear partial differential equations (PDE), which are divided into the following main areas of research:
Qualitative theory of nonlinear PDE: existence and uniqueness of solutions, as well as their properties related to smoothness, regularity, symmetries, and asymptotic behavior.
Variational methods of nonlinear analysis: their development and application in the PDE theory.
Functional inequalities: stability, attainability of exact constants, properties of extreme functions, and applications in optimization problems and PDE theory.
A posteriori analysis: constructive estimates of the deviation measures of approximate solutions from the exact solutions of nonlinear PDE and variational inequalities.
The purpose of the conference is to discuss the latest achievements, problems, and current issues in these fields, to share experience, and to establish new fruitful contacts between scientific groups. The conference will feature presentations by both leading experts and active young scientists. Website: https://siriusmathcenter.ru/058w