Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

# Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1205.35099
Moschetto, Danila Sandra
Existence and multiplicity results for a nonlinear stationary Schrödinger equation.
(English)
[J] Ann. Pol. Math. 99, No. 1, 39-43 (2010). ISSN 0066-2216; ISSN 1730-6272/e

Summary: We revisit Kristály's result on the existence of weak solutions of the Schrödinger equation of the form $$-\Delta u+a(x)u=\lambda b(x)f(u), \quad x\in\Bbb R^N,\ u\in H^1(\Bbb R^N),$$ where $\lambda$ is a positive parameter, $a$ and $b$ are positive functions, while $f:\Bbb R\rightarrow\Bbb R$ is sublinear at infinity and superlinear at the origin. In particular, by using Ricceri's recent three critical points theorem, we show that, under the same hypotheses, a much more precise conclusion can be obtained.
MSC 2000:
*35J61
35J20 Second order elliptic equations, variational methods
35B45 A priori estimates

Keywords: nonlinear stationary Schrödinger equations; multiple solutions

Login Username: Password:

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster