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Ground state, bound state, and normalized solutions to semilinear Maxwell and Schr\'odinger equations

Authors :
Schino, Jacopo
Publication Year :
2022

Abstract

The existence of ground states and (multiple) bound states to semilinear time-independent Maxwell and Schr\"odinger equations, with or without $L^2$-constraints, is investigated.<br />Comment: Ph.D. thesis (discussed in September 2021). Improved versions of Chapters 6 and 7 available at arXiv:2101.03076 and arXiv:2101.02611 respectively. Chapters 3 and 4 are based on arXiv:1901.05776 and arXiv:2006.03565 respectively. The results in Chapter 8 are new

Subjects

Subjects :
Mathematics - Analysis of PDEs

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2207.07461
Document Type :
Working Paper