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arXiv · 2504.10385

Normalized solutions for Schr\"odinger-Bopp-Podolsky systems in bounded domains

Gaetano Siciliano
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Abstract

We consider an elliptic system of Schr\"odinger-Bopp-Podolsky type in a bounded and smooth domain of R3 with a non constant coupling factor. This kind of system has been introduced in the mathematical literature in [14] and in the last years many contributions appeared. In particular here we present the results in [2] and [34] which show existence of solutions by means of the Ljusternik-Schnirelmann theory under different boundary conditions on the electrostatic potential.

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Gaetano Siciliano. 2025-04-14. Normalized solutions for Schr\"odinger-Bopp-Podolsky systems in bounded domains. https://doi.org/10.46298/cm.15501

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