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...

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Bibliografske podrobnosti

Principais autores:	Yongkuan Cheng, Yaotian Shen
Format:	Artigo
Jezik:	Inglês
Izdano:	SpringerOpen 2024-02-01
Serija:	Boundary Value Problems
Teme:	Schrödinger equations L ∞ $L^{\infty}$ estimate Heisenberg ferromagnet
Online dostop:	https://doi.org/10.1186/s13661-024-01836-4
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