S. Kolonitskii

activity

20122024

most citedOn a property of the nodal set of least energy sign-changing solutions for quasilinear elliptic equations

5 citations · 14 across the 7 of their papers we have counts for

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math.AP2024

Payne nodal set conjecture for the fractional $p$ -Laplacian in Steiner symmetric domains

Vladimir Bobkov, Sergey Kolonitskii

Let $u$ be either a second eigenfunction of the fractional $p$ -Laplacian or a least energy nodal solution of the equation $(- Δ)_{p}^{s} u = f (u)$ with superhomogeneous and subcritic…

math.AP2024

Entire solutions to the Swift--Hohenberg equation via variational approach

S. B. Kolonitskii, L. M. Lerman, A. I. Nazarov

We study the stationary Swift--Hohenberg equation $(Δ + 1)^{2} u - α u - β u^{2} + u^{3} = 0$ in the whole space $R^{n}$ , $2 \leq n \leq 7$ . We develop and modify the variational approach…

Payne nodal set conjecture for the fractional p-Laplacian in Steiner symmetric domains

Entire solutions to the Swift--Hohenberg equation via variational approach

Payne nodal set conjecture for the fractional $p$ -Laplacian in Steiner symmetric domains