Rainer Mandel

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math.AP2023

Block-radial symmetry breaking for ground states of biharmonic NLS

Rainer Mandel, Diogo Oliveira e Silva

We prove that the biharmonic NLS equation $Δ^{2} u + 2Δ u + (1 + ε) u = ∣ u ∣^{p - 2} u$ in $R^{d}$ has at least $k + 1$ different solutions if $ε > 0$ is small enough and $2…

math.AP2015

Boundary value problems for Willmore curves in $R^{2}$

Rainer Mandel

In this paper the Navier problem and the Dirichlet problem for Willmore curves in $R^{2}$ is solved.

Block-radial symmetry breaking for ground states of biharmonic NLS

Boundary value problems for Willmore curves in R2

Boundary value problems for Willmore curves in $R^{2}$