On some nonlinear Schr\"odinger equations in $\bbr^N$
Juncheng Wei, Yuanze Wu
TL;DR
This paper introduces new analytical methods to study nonlinear Schrödinger equations with power-type nonlinearities in multi-dimensional Euclidean space, aiming to deepen understanding of their solutions.
Contribution
The paper presents novel ideas and approaches for analyzing nonlinear Schrödinger equations with power nonlinearities in b^N, advancing theoretical understanding.
Findings
New analytical techniques for Schrödinger equations
Insights into solution behaviors in b^N
Potential applications to nonlinear wave phenomena
Abstract
In this paper, we introduce some new ideas to study Schrodinger equations in RN with power-type nonlinearities.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Advanced Mathematical Physics Problems · Spectral Theory in Mathematical Physics