A. P. Shcheglova

activity

20172026

most citedSteklov-type 1D inequalities (a survey)

3 citations · 6 across the 4 of their papers we have counts for

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2 papers · 1 filter

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.AP2021

Solutions with various structures for semilinear equations in $R^{n}$ driven by fractional Laplacian

A. I. Nazarov, A. P. Shcheglova

We study bounded solutions to the fractional equation $(- Δ)^{s} u + u - ∣ u ∣^{q - 2} u = 0$ in $R^{n}$ for $n \geq 2$ and subcritical exponent $q > 2$ . Applying the variational approach…

The Neumann problem for the generalized Hénon equation. Local analysis

Solutions with various structures for semilinear equations in Rn driven by fractional Laplacian

Solutions with various structures for semilinear equations in $R^{n}$ driven by fractional Laplacian