103 citations · 184 across the 37 of their papers we have counts for
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Elliptic problems with mixed nonlinearities and potentials singular at the origin and at the boundary of the domain
Bartosz Bieganowski, Adam Konysz
We are interested in the following Dirichlet problem $$ \left\{ \begin{array}{ll} -Δu + λu - μ\frac{u}{|x|^2} - ν\frac{u}{\mathrm{dist}\,(x,\mathbb{R}^N \setminus Ω)^2} = f(x,u) &…
Normalized solutions to at least mass critical problems: singular polyharmonic equations and related curl-curl problems
Bartosz Bieganowski, Jarosław Mederski, Jacopo Schino
We are interested in the existence of normalized solutions to the problem \begin{equation*} \begin{cases} (-Δ)^m u+\fracμ{|y|^{2m}}u + λu = g(u), \quad x = (y,z) \in \mathbb{R}^K \…
Magnetostatic levitation and two related linear PDEs in unbounded domains
Bartosz Bieganowski, Tomasz Cieślak, Jakub Siemianowski
We consider a problem occurring in a magnetostatic levitation. The problem leads to a linear PDE in a strip. In engineering literature a particular solution is obtained. Such a sol…