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3. On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials.

Author

Tarulli, Mirko and Venkov, George

Subjects
*SYMMETRY, *NONLINEAR Schrodinger equation
Abstract

We present a generalized version of a Gagliardo–Nirenberg inequality characterized by radial symmetry and involving potentials exhibiting pure power polynomial behavior. As an application of our result, we investigate the existence of extremals for this inequality, which also correspond to stationary solutions for the nonlinear Schrödinger equation with inhomogeneous nonlinearity, competing with H s -subcritical nonlinearities, either of a local or nonlocal nature. [ABSTRACT FROM AUTHOR]

Published
2024
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