Nontrivial complex solutions for magnetic Schrodinger equations with critical nonlinearities
Using minimization arguments we establish the existence of a complex solution to the magnetic Schrodinger equation $$ - (\nabla + i A(x) )^2 u + u = f(|u|^2) u \quad \text{in }\mathbb{R}^N, $$ where $N \geq 3$, $A:\mathbb{R}^N \to \mathbb{R}^N$ is the magnetic potential and f satisfies som...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/174/abstr.html |