103 citations · 184 across the 37 of their papers we have counts for
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math.AP2019
Non-local to local transition for ground states of fractional Schrödinger equations on
Bartosz Bieganowski, Simone Secchi
We consider the nonlinear fractional problem \begin{align*} (-Δ)^{s} u + V(x) u = f(x,u) &\quad \hbox{in } \end{align*} We show that ground state solutions converge (…
math.AP2019★ 2 cited
Non-local to local transition for ground states of fractional Schrödinger equations on bounded domains
Bartosz Bieganowski, Simone Secchi
We show that ground state solutions to the nonlinear, fractional problem \begin{align*} \left\{ \begin{array}{ll} (-Δ)^{s} u + V(x) u = f(x,u) &\quad \mathrm{in} \ Ω, \newline u =…
math.AP2019★ 3 cited
Bound states for the Schrödinger equation with mixed-type nonlinearites
Bartosz Bieganowski, Jarosław Mederski
We prove the existence results for the Schrödinger equation of the form where is superlinear and subcritical in some peri…