Tarulli, M.; Venkov, G. On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials. Mathematics2024, 12, 8.
Tarulli, M.; Venkov, G. On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials. Mathematics 2024, 12, 8.
Tarulli, M.; Venkov, G. On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials. Mathematics2024, 12, 8.
Tarulli, M.; Venkov, G. On a Generalized Gagliardo–Nirenberg Inequality with Radial Symmetry and Decaying Potentials. Mathematics 2024, 12, 8.
Abstract
We establish a new Gagliardo-Nirenberg inequality characterized by radial symmetry and involving potentials exhibiting pure power polynomial behaviour. 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 Hs-subcritical nonlinearities, either of local or non-local nature.
Copyright:
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