Existence of solution for two classes of Schrödinger equations in $\mathbb{R}^N$ with magnetic field and zero mass
In this paper, we consider the existence of a nontrivial solution for the following Schrödinger equations with a magnetic potential $A$ $$-\Delta_A u=K(x)f(|u|^2)u,~\quad \mbox{in}~\mathbb{R}^N$$ where $N\geqslant3$, $K$ is a nonnegative function verifying two kinds of conditions and $f$ is continuo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2020-01-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7983 |