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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.
 Organizers
Apushkinskaya Darya Evgen'evna
Bobkov Vladimir
Nazarov Alexander Il'ich |
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| Nonlinear partial differential equations, June 23–27, 2025 |
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June 23, 2025 (Mon) |
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| 1. |
On the blow-up criterion for solutions of second-order quasilinear elliptic inequalities
A. A. Kon'kov
June 23, 2025 09:30–10:00, International Mathematical Center "Sirius"
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| 2. |
On smoothness of eigenfunctions for differential-difference operators
A. L. Skubachevskii
June 23, 2025 10:00–10:30, International Mathematical Center "Sirius"
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| 3. |
Wavelet representation of singular function. Some applications to the spectral problems
I. A. Sheipak
June 23, 2025 10:30–11:00, International Mathematical Center "Sirius"
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| 4. |
On the Hénon problem with different fractional Laplacians
A. P. Shcheglova
June 23, 2025 11:30–12:00, International Mathematical Center "Sirius"
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| 5. |
Existence of non-radial extremal functions for Hardy-Sobolev inequalities in non-convex cones
N. V. Rastegaev
June 23, 2025 12:00–12:30, International Mathematical Center "Sirius"
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| 6. |
The third type (Robin) boundary condition for a quasilinear problem with critical growth of the right-hand side
D. V. Bystrov
June 23, 2025 12:30–12:45, International Mathematical Center "Sirius"
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| 7. |
Inverse iteration method for higher eigenvalues of the $p$-Laplacian
T. I. Galimov
June 23, 2025 12:45–13:00, International Mathematical Center "Sirius"
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| 8. |
A few observations on the first eigenvalue of the Robin $p$-Laplace operator
S. Sasi
June 23, 2025 14:30–15:00, International Mathematical Center "Sirius"
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| 9. |
On the existence and uniqueness of the Burgers' equation based on Ellis rheological model
L. K. Zhapsarbaeva
June 23, 2025 15:00–15:30, International Mathematical Center "Sirius"
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| 10. |
Classical Leray problems on steady-state Navier–Stokes system: recent advances and new perspectives
M. V. Korobkov
June 23, 2025 15:30–16:00, International Mathematical Center "Sirius"
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June 24, 2025 (Tue) |
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| 11. |
Hodge decomposition in variable exponent Lebesgue and Sobolev spaces
M. D. Surnachev
June 24, 2025 09:30–10:00, International Mathematical Center "Sirius"
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| 12. |
Local renormalized solution of anisotropic elliptic equation with variable exponents in nonlinearities in $\mathbb{R}^N$
L. M. Kozhevnikova
June 24, 2025 10:00–10:30, International Mathematical Center "Sirius"
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| 13. |
On different statements of boundary value problems for linear and nonlinear elliptic differential–difference equations
O. V. Solonukha
June 24, 2025 10:30–11:00, International Mathematical Center "Sirius"
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| 14. |
Payne nodal set conjecture for the Riesz fractional $p$-Laplacian in Steiner symmetric domains
S. B. Kolonitskii
June 24, 2025 11:30–12:00, International Mathematical Center "Sirius"
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| 15. |
Periodic solutions of the Euler-Bernoulli equation vibrations of a beam subjected to compression, with mixed boundary conditions
I. A. Rudakov
June 24, 2025 12:00–12:30, International Mathematical Center "Sirius"
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| 16. |
Sharp estimates of functions in Sobolev spaces with uniform norm
D. D. Kazimirov
June 24, 2025 12:30–12:45, International Mathematical Center "Sirius"
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| 17. |
Spectral and functional inequalities on antisymmetric functions
I. A. Sherbakov
June 24, 2025 12:45–13:00, International Mathematical Center "Sirius"
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| 18. |
Spectral properties of some functional-di!erence operators
A. A. Laptev
June 24, 2025 14:30–16:00, International Mathematical Center "Sirius"
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June 25, 2025 (Wed) |
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| 19. |
Minimax bifurcation formula for analyzing saddle-node bifurcations
Ya. Sh. Ilyasov
June 25, 2025 09:30–10:00, International Mathematical Center "Sirius"
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| 20. |
Lavrentiev–Bitsadze equation in partially perforated domain
G. A. Chechkin
June 25, 2025 10:00–10:30, International Mathematical Center "Sirius"
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| 21. |
Chow-Rachevsky theorem for Sobolev vector fields
E. Stepanov
June 25, 2025 10:30–11:00, International Mathematical Center "Sirius"
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| 22. |
Äâóìåðíàÿ çàäà÷à î ôàçîâûõ ïåðåõîäàõ â ìåõàíèêå ñïëîøíûõ ñðåä ñ îäèíàêîâûìè ìîäóëÿìè óïðóãîñòè
V. G. Osmolovskii
June 25, 2025 11:30–12:00, International Mathematical Center "Sirius"
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June 26, 2025 (Thu) |
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| 23. |
A posteriori analysis of nonlinear boundary value problems with monotone operators
S. I. Repin
June 26, 2025 09:30–10:00, International Mathematical Center "Sirius"
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| 24. |
On self-similar solutions to a multi-phase Stefan problem for the heat equation in a moving ray
E. Yu. Panov
June 26, 2025 10:00–10:30, International Mathematical Center "Sirius"
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| 25. |
Obstacle problem for the $p$-Laplacian and its a posteriori analysis
D. E. Apushkinskaya
June 26, 2025 10:30–11:00, International Mathematical Center "Sirius"
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| 26. |
A posteriori estimates for problems with monotone operators
S. E. Pastukhova
June 26, 2025 11:30–12:00, International Mathematical Center "Sirius"
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| 27. |
Nonlinear inverse problems for fractional differential equations
V. E. Fedorov
June 26, 2025 12:00–12:30, International Mathematical Center "Sirius"
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| 28. |
Equations with Riemann–Liouville derivative and subordination principle
D. A. Vershinina
June 26, 2025 12:30–12:45, International Mathematical Center "Sirius"
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| 29. |
Verification of a posteriori estimates for solutions to the thin obstacle problem
S. Borunov
June 26, 2025 12:45–13:00, International Mathematical Center "Sirius"
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| 30. |
On reverse Faber-Krahn inequalities
T. V. Anoop
June 26, 2025 14:30–15:00, International Mathematical Center "Sirius"
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| 31. |
The Cauchy problem for doubly degenerate parabolic equations with weights
An. F. Tedeev
June 26, 2025 15:00–15:30, International Mathematical Center "Sirius"
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| 32. |
On maximum and comparison principles for parabolic problems with the $p$-Laplacian
V. Bobkov
June 26, 2025 15:30–16:00, International Mathematical Center "Sirius"
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June 27, 2025 (Fri) |
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| 33. |
Hardy type inequalities with mixed cylindrical-spherical weights
A. I. Nazarov
June 27, 2025 09:30–10:00, International Mathematical Center "Sirius"
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| 34. |
Nonlinear elliptic variational inequalities with contacting and non-contacting measurable bilateral obstacles
A. A. Kovalevsky
June 27, 2025 10:00–10:30, International Mathematical Center "Sirius"
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| 35. |
Very singular and large solutions of semilinear elliptic and parabolic equations
A. E. Shishkov
June 27, 2025 10:30–11:00, International Mathematical Center "Sirius"
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| 36. |
Optimization inverse spectral problems and nonlinear differential operators
N. F. Valeev
June 27, 2025 11:30–12:00, International Mathematical Center "Sirius"
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| 37. |
On the weighted Neumann eigenvalue problem in Hlder domains
V. A. Pchelintsev
June 27, 2025 12:00–12:30, International Mathematical Center "Sirius"
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| 38. |
Homogenization problems of Navier–Stokes equation for the domain perforated along the boundary
M. Apayev
June 27, 2025 12:30–12:45, International Mathematical Center "Sirius"
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| 39. |
Homogenization problem in a Neumann sieve-type domain with “light” concentrated masses. Subcritical case
T. Kalyayev
June 27, 2025 12:45–13:00, International Mathematical Center "Sirius"
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| 40. |
Group analysis of the one-dimensional kinetic equation and the closure problem for the momentum system
A. V. Borovskikh
June 27, 2025 14:30–15:00, International Mathematical Center "Sirius"
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| 41. |
Nonlocal problems for singular parabolic equations with gradient nonlinearities
A. B. Muravnik
June 27, 2025 15:00–15:30, International Mathematical Center "Sirius"
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