Bobkov, Vladimir; Kolonitskii, Sergey Payne nodal set conjecture for the fractional \(p\)-Laplacian in Steiner symmetric domains. arXiv:2405.06936 Preprint, arXiv:2405.06936 [math.AP] (2024). MSC: 35J92 35R11 35B06 49K30 × Cite Format Result Cite Full Text: arXiv OA License
Bobkov, Vladimir; Kolonitskii, Sergey Improved Friedrichs inequality for a subhomogeneous embedding. (English) Zbl 1519.35184 J. Math. Anal. Appl. 527, No. 1, Part 2, Article ID 127383, 29 p. (2023). MSC: 35J92 35J25 35A01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bobkov, Vladimir; Kolonitskii, Sergey Second-order derivative of domain-dependent functionals along Nehari manifold trajectories. (English) Zbl 1453.35103 ESAIM, Control Optim. Calc. Var. 26, Paper No. 48, 29 p. (2020). Reviewer: Paolo Musolino (Padova) MSC: 35J92 49Q10 35B30 49K30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bobkov, Vladimir; Kolonitskii, Sergey On qualitative properties of solutions for elliptic problems with the \(p\)-Laplacian through domain perturbations. (English) Zbl 1437.35402 Commun. Partial Differ. Equations 45, No. 3, 230-252 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J92 35B06 49Q10 35B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bobkov, Vladimir; Kolonitskii, Sergey On a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations. (English) Zbl 1429.35103 Proc. R. Soc. Edinb., Sect. A, Math. 149, No. 5, 1163-1173 (2019). MSC: 35J92 35J40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv