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arXiv · 2110.14260

Critical gauged Schrödinger equations in R^2 with vanishing potentials

Liejun Shen·Marco Squassina·Minbo Yang
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Abstract

We study a class of gauged nonlinear Schrödinger equations in the plane. We obtain existence of two nontrivial solutions via the Mountain-Pass theorem and Ekeland's variational principle. Moreover, we prove existence of infinitely many solutions for odd nonlinearities.

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Liejun Shen, Marco Squassina, Minbo Yang. 2022-03-24. Critical gauged Schrödinger equations in R^2 with vanishing potentials. https://arxiv.org/abs/2110.14260

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