In this paper, we study the nonlinear eigenvalue field equation
where is a function from to with , is a positive parameter and . We find a multiplicity of solutions, symmetric with respect to an action of the orthogonal group : For any we prove the existence of finitely many pairs solutions for sufficiently small, where is symmetric and has topological charge . The multiplicity of our solutions can be as large as desired, provided that the singular point of and are chosen accordingly.
Submitted October 22, 2004. Published January 2, 2005.
Math Subject Classifications: 35Q55, 45C05.
Key Words: Nonlinear Schrodinger equations; nonlinear eigenvalue problems.
Show me the PDF file (334K), TEX file, and other files for this article.
| Daniela Visetti |
Dipartimento di Matematica Applicata
"U. Dini", Università degli studi di Pisa
via Bonanno Pisano 25/B, 56126 Pisa, Italy
Return to the EJDE web page