8 citations · 8 across the 3 of their papers we have counts for
5 papers
Asymptotic profiles of ground state solutions for Choquard equations with a general local perturbation
Shiwang Ma, Vitaly Moroz
In this paper, we study the asymptotic behavior of ground state solutions for the nonlinear Choquard equation with a general local perturbation $$ -Δu+\varepsilon u=(I_α\ast |u|^{p…
Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity
Shiwang Ma, Vitaly Moroz
We study asymptotic behavior of positive ground state solutions of the nonlinear Kirchhoff equation $$ -\Big(a+b\int_{\mathbb R^N}|\nabla u|^2\Big)Δu+ λu= u^{q-1}+ u^{p-1} \quad {\…
Gelfand-type problem for turbulent jets
Peter V. Gordon, Vitaly Moroz, Fedor Nazarov
We consider the model of auto-ignition (thermal explosion) of a free round reactive turbulent jet. This model falls into the general class of Gelfand-type problems and constitutes…
Groundstate asymptotics for a class of singularly perturbed -Laplacian problems in
Wedad Albalawi, Carlo Mercuri, Vitaly Moroz
We study the asymptotic behavior of positive groundstate solutions to the quasilinear elliptic equation \begin{equation} -Δ_{p} u + \varepsilon u^{p-1} - u^{q-1} +u^{\mathit{l}-1}…
Nonlocal Hardy type inequalities with optimal constants and remainder terms
Vitaly Moroz, Jean Van Schaftingen
Using a groundstate transformation, we give a new proof of the optimal Stein-Weiss inequality of Herbst [\int_{\R^N} \int_{\R^N} \frac{φ(x)}{\abs{x}^\fracα{2}} I_α(x - y) \frac{φ(y…