8:00-9:00 Registration

9:00-9:15 Opening remarks by Prof. Velichka Milousheva, Deputy Director of IMI-BAS and ICMS-Sofia

9:15-10:00 Juncheng Wei: On Brezis’ two open problems

10:00-10:45 Filomena Pacella: When a domain on the sphere is almost convex?

10:45-11:15 Coffee  break

11:15-12:00 Pieralberto Sicbaldi: Some results for the capillary overdetermined problem

12:00-14:15 Lunch

14:15-15:00 Dian K. Palagachev: Conormal derivative problems for quasilinear elliptic equations with Morrey data

15:00-15:45 Mariana Smit Vega Garcia: Fractional parabolic theory as a high-dimensional limit of fractional elliptic theory

15:45-16:15 Coffee break

16:15-17:00 Aelson Sobral: Keller-Osserman and Harnack type results for nonlinear elliptic PDE with unbounded ingredients

17:00-17:30 Maria Luísa Pasinato: Exact solvability for non-coercive Hamilton-Jacobi-Bellman equations and the Ambrosetti-Prodi phenomenon

18:30-20:30 Welcome reception

9:15-10:00 Manuel Del Pino: Concentrated vorticities in the Gross-Pitaevskii equation and their parallel with incompressible Euler fluids

10:00-10:45 Philippe Souplet: Classification of entire and ancient solutions of the diffusive Hamilton-Jacobi equation

10:45-11:15 Coffee  break

11:15-12:00 Isabeau Birindelli: Kazdan-Warner revisited: a logistic equation with sanctuary

12:00-14:15 Lunch

14:15-15:00 Alex Quaas: Mixed local and nonlocal Laplacian without standard critical exponent for the Lane-Emden equation

15:00-15:45 María Soria-Carro: On fractional k-Hessian operators

15:40-16:15 Coffee break

16:15-17:00 Damião J. Araújo: Infinity Laplacian equations with gradient activation

17:00-17:30 Xiangqian Meng: Harnack inequalities for weakly coupled non-local systems

19:30-22:30 Banquet

9:15-10:00 Hongjie Dong: Sobolev estimates for nonlocal equations with general Lévy measures

10:00-10:45 Giuseppe Mingione: Partial regularity in nonlocal problems

10:45-11:15 Coffee  break

11:15-12:00 Cristiana De Filippis: μ-ellipticity and nonautonomous integrals

12:00-14:00 Lunch

15:30-18:30 Excursion to Veliko Tarnovo / Tsarevets

9:15-10:00 Ki-Ahm Lee: Degenerate nonlinear partial differential equations in curvature flows

10:00-10:45 Tuomo Kuusi: Coarse-grained ellipticity and De Giorgi–Nash–Moser theory

10:45-11:15 Coffee  break

11:15-12:00 Eduardo Teixeira: Regularity in singular variational integrals and free boundary problems

12:00-14:15 Lunch

14:15-15:00 Lubomira Softova: Quasilinear parabolic equations with perturbed coefficients

15:00-15:45 Georgios Sakellaris: Scale invariant regularity estimates for the Neumann problem in Lipschitz domain

15:45-16:15 Coffee break

16:15-17:00 Monica Musso: Compact equilibria in the Liquid Drop Model