Simplicity and boundary behavior of spike sequences for a superlinear problem in plasma physics
Year: 2025
Type: article
Abstract: We prove that spike sequences related to a nonlinear problem of Grad-Shafranov type are always simple and always converge toward interior points of the domain. This sharpens the blow-up analysis carried out by Bartolucci-Jevnikar-Wu in [2] and provides a converse to the existence result for spike sequences obtained by Wei in [21] .
Authors: Paolo Cosentino, Francesco Malizia
Institutions: University of Rome Tor Vergata, Scuola Normale Superiore
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Dipartimenti di Eccellenza, Ministero dell’Istruzione, dell’Università e della Ricerca, Università degli Studi di Roma Tor Vergata, Ministero dell'Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni
Awards: G8094597749, G8451633334
OpenAlex ID: W7089406289