About “one-dimensionality” of the extremal in the Poincare inequality in the square
A. I. Nazarov

This publication is cited in the following articles:

1. D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Uraltseva, “A Survey of Results of St. Petersburg State University Research School on Nonlinear Partial Differential Equations. I”, Vestnik St.Petersb. Univ.Math., 57:1 (2024), 1  
2. D. E. Apushkinskaya, A. A. Arkhipova, A. I. Nazarov, V. G. Osmolovskii, N. N. Uraltseva, “Obzor rezultatov nauchnoi shkoly SPbGU po nelineinym uravneniyam v chastnykh proizvodnykh. I”, Vestnik Sankt-Peterburgskogo universiteta. Matematika. Mekhanika. Astronomiya, 11:1 (2024), 3–37    
3. Elvise Berchio, Alessio Falocchi, “About Symmetry in Partially Hinged Composite Plates”, Appl Math Optim, 84:3 (2021), 2645  
4. Girao P., Weth T., “The shape of extrernal functions for Poincaré-Sobolev-type inequalities in a ball”, Journal of Functional Analysis, 237:1 (2006), 194–223