Danilo Gregorin Afonso, Bruno Mascaro
Abstract:
In this article, we show that the Schrodinger-Bopp-Podolsky system with Dirichlet
boundary conditions in a bounded domain possesses infinitely many solutions of
prescribed frequency, for any set of (continuous) boundary conditions, provided that
the Schrodinger equation is perturbed with a suitable nonlinearity. Our approach
is variational, and our proof is based on a symmetric variant of the Mountain Pass
theorem.
Submitted October 30, 2025. Published February 11, 2026.
Math Subject Classifications: 35D30, 35J10, 35J20, 35J35, 35J40, 35J58, 35J91, 35Q40.
Key Words: Schrodinger-Bopp-Podolsky systems; Dirichlet boundary conditions;
higher-order elliptic problems; variational methods.
DOI: 10.58997/ejde.2026.11
Show me the PDF file (337 KB), TEX file for this article.
 |
Danilo Gregorin Afonso Università San Raffaele Roma Via di Val Cannuta 247, 00166, Roma, Italy email: danilo.afonso@uniroma5.it |
|---|---|
 |
Bruno Mascaro Faculdade de Computação e Informática Universidade Presbiteriana Mackenzie R. da Consolação 930, São Paulo, Brasil email: bruno.mascaro@mackenzie.br |
Return to the EJDE web page