We consider the equation
which arises in the study of standing waves of a nonlinear Schrodinger equation. We allow the potential to be unbounded below and prove existence and multiplicity results for positive solutions.
Submitted October 3, 2000. Published January 22, 2001.
Math Subject Classifications: 35Q55, 35J20, 58E05.
Key Words: nonlinear Schrodinger equations, singular potentials, variational methods, Ljusternik--Schnirelman category.
Show me the PDF file (168K), TEX file, and other files for this article.
| Monica Lazzo |
Dipartimento di Matematica
Universita di Bari
via Orabona 4,
70125 Bari, Italy
Return to the EJDE web page