Work

Normalized solutions of one-dimensional defocusing NLS equations with nonlinear point interactions

Year: 2026

Type: article

Abstract: We investigate normalized solutions for doubly nonlinear Schrödinger equations on the real line with a defocusing standard nonlinearity and a focusing nonlinear point interaction of $$\delta $$ δ –type at the origin. We provide a complete characterization of existence and uniqueness for normalized solutions and for energy ground states for every value of the nonlinearity powers. We show that the interplay between a defocusing standard and a focusing point nonlinearity gives rise to new phenomena with respect to those observed with single nonlinearities, standard combined nonlinearities, and combined focusing standard and pointwise nonlinearities.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03312-6

Authors: Daniele Barbera, Filippo Boni, Simone Dovetta, Lorenzo Tentarelli

Institution: Politecnico di Torino

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190