We study the existence of nonnegative solutions (and ground states) to nonlinear Schrödinger equations in RN with radial potentials and super-linear or sub-linear nonlinearities. The potentials satisfy power type estimates at the origin and at infinity, but no compatibility condition is required on their growth (or decay) rates at zero and infinity. In this respect our results extend some well known results in the literature and we also believe that they can highlight the role of the sum of Lebesgue spaces in studying nonlinear equations with weights.

Guida, M., Rolando, S. (2016). Nonlinear Schrödinger equations without compatibility conditions on the potentials. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 439(1), 347-363 [10.1016/j.jmaa.2016.02.061].

Nonlinear Schrödinger equations without compatibility conditions on the potentials

ROLANDO, SERGIO
2016

Abstract

We study the existence of nonnegative solutions (and ground states) to nonlinear Schrödinger equations in RN with radial potentials and super-linear or sub-linear nonlinearities. The potentials satisfy power type estimates at the origin and at infinity, but no compatibility condition is required on their growth (or decay) rates at zero and infinity. In this respect our results extend some well known results in the literature and we also believe that they can highlight the role of the sum of Lebesgue spaces in studying nonlinear equations with weights.
Articolo in rivista - Articolo scientifico
Ground states; Nonlinear Schrödinger equation; Sum of weighted Lebesgue spaces; Unbounded or decaying potentials;
Nonlinear Schrödinger equation, unbounded or decaying potentials, sum of weighted Lebesgue spaces, ground state
English
2016
439
1
347
363
open
Guida, M., Rolando, S. (2016). Nonlinear Schrödinger equations without compatibility conditions on the potentials. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 439(1), 347-363 [10.1016/j.jmaa.2016.02.061].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/85237
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