2 problems

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Instability conjecture for excited states of the logarithmic Schrödinger equation
Let $\gamma>2$ and consider the first excited states arising from the ground state at the bifurcation point for the logarithmic Schrödinger equation with a $\delta^{\prime}$ -intera…
Conjectureopendelta-prime-interaction logarithmic-schrodinger-equation orbital-stabilityarXiv posted 2 days ago
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Conjecture on persistence of the nonlinear ground state under approximation of a repulsive delta-prime interaction
A repulsive $\delta'$ interaction in one dimension can be approximated by smooth potentials with a negative well, and the nonlinear energy admits ground states. Ground-state inheri…
Conjectureopendelta-prime-interaction nonlinear-schrodinger-equation point-interactionsarXiv posted 2 days ago

Instability conjecture for excited states of the logarithmic Schrödinger equation