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Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power by Colorado, Eduardo; López-Soriano, Rafael; Ortega, Alejandro is a scholarly article available to read on EtoBox.

What is Bound and ground states of coupled "NLS-KDV" equations with Hardy potential and critical power about?

We consider the existence of bound and ground states for a family of nonlinear elliptic systems in $\mathbb{R}^N$, which involves equations with critical power nonlinearities and Hardy-type singular potentials. The equations are coupled by what we call ``Schr\"odinger-Korteweg-de Vries'' non-symmetric terms, which arise in some phenomena of fluid mechanics. By means of variational methods, ground states are derived for several ranges of the positive coupling parameter $\nu$. Moreover, by using min-max arguments, we seek bound states under some energy assumptions.

Author

Colorado, Eduardo; López-Soriano, Rafael; Ortega, Alejandro

Published

2021

Language

EN