Quasilinear Schrödinger equations with superlinear terms describing the Heisenberg ferromagnetic spin chain
Abstract In this paper, we consider a model problem arising from a classical planar Heisenberg ferromagnetic spin chain: − Δ u + V ( x ) u − u 1 − u 2 Δ 1 − u 2 = c | u | p − 2 u , x ∈ R N , $$ -\Delta u+V(x)u-\frac{u}{\sqrt{1-u^{2}}}\Delta \sqrt{1-u^{2}}=c \vert u \vert ^{p-2}u,\quad x\in \mathbb{R...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-02-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-024-01836-4 |