English

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

Analysis of PDEs 2022-07-18 v1

Abstract

The existence of ground states and (multiple) bound states to semilinear time-independent Maxwell and Schr\"odinger equations, with or without L2L^2-constraints, is investigated.

Keywords

Cite

@article{arxiv.2207.07461,
  title  = {Ground state, bound state, and normalized solutions to semilinear Maxwell and Schr\"odinger equations},
  author = {Jacopo Schino},
  journal= {arXiv preprint arXiv:2207.07461},
  year   = {2022}
}

Comments

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