We study a perturbed Schrödinger equation in the plane arising from the coupling of quantum physics with Newtonian gravitation. We obtain some existence results by means of a perturbation technique in Critical Point Theory.
Bernini, F., Secchi, S. (2020). Existence of solutions for a perturbed problem with logarithmic potential in $mathbb{R}^2$. MATHEMATICS IN ENGINEERING, 2(3), 438-458 [10.3934/mine.2020020].
Existence of solutions for a perturbed problem with logarithmic potential in $mathbb{R}^2$
Bernini, Federico;Secchi, Simone
2020
Abstract
We study a perturbed Schrödinger equation in the plane arising from the coupling of quantum physics with Newtonian gravitation. We obtain some existence results by means of a perturbation technique in Critical Point Theory.
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