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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Showing 2021Show all

2 papers · 1 filter

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…

math.CA2021★ 3 cited

Steklov-type 1D inequalities (a survey)

Alexander I. Nazarov, Alexandra P. Shcheglova

We give a survey of classical and recent results on sharp constants and symmetry/asymmetry of extremal functions in $1$ -dimensional functional inequalities.

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

Steklov-type 1D inequalities (a survey)

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