3 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Solutions with various structures for semilinear equations in driven by fractional Laplacian
A. I. Nazarov, A. P. Shcheglova
We study bounded solutions to the fractional equation in for and subcritical exponent . Applying the variational approach…
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 -dimensional functional inequalities.
On the sharp constant in "magnetic" 1D embedding theorem
A. I. Nazarov, A. P. Scheglova
We study the sharp constant in the embedding theorem in the case where the norm in is defined via the energy of a 1D magnetic Schrödinger opera…