A. I. Nazarov

collaborators

2 papers

math.AP2026

The Neumann problem for the generalized Hénon equation. Local analysis

Alexander I. Nazarov, Alexandra P. Shcheglova

For the boundary value problem $$\left\{ \begin{array}{rcll} -Δ_p u+u^{p-1}&=&|x|^αu^{q-1}&\mbox{in }Ω,\\ \frac{\displaystyle\partial u}{\displaystyle\partial{\bf n}}&=&0&\mbox{on…

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…