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ISSN 1088-6826(e) ISSN 0002-9939(p)

Multiple solutions for elliptic problems with singular and sublinear potentials

Author(s): Alexandru Kristály; Csaba Varga
Journal: Proc. Amer. Math. Soc. 135 (2007), 2121-2126.
MSC (2000): Primary 35J60, 35J65
Posted: February 6, 2007
MathSciNet review: 2299489
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Abstract: For certain positive numbers $\mu$ and $\lambda,$ we establish the multiplicity of solutions to the problem

$\begin{displaymath}\left\{ \begin{array}{lll} -\triangle u=\mu\frac{u}{\vert x\v... ... \Omega, u=0 & {\rm on} \partial \Omega, \end{array}\right. \end{displaymath}$

where $\Omega$ is a bounded open domain in $\mathbb{R}^N (N\geq 3)$ containing the origin with smooth boundary $\partial \Omega,$ while $f:\mathbb{R}\to\mathbb{R}$ is continuous, superlinear at zero and sublinear at infinity.

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Additional Information:

Alexandru Kristály
Affiliation: University of Babes-Bolyai, Faculty of Economics, Str. Teodor Mihali 58-60, RO-400591, Cluj Napoca, Romania
Email: alexandrukristaly@yahoo.com

Csaba Varga
Affiliation: University of Babes-Bolyai, Faculty of Mathematics and Computer Science, Str. Kogalniceanu 1, RO-400084, Cluj-Napoca, Romania
Email: csvarga@math.ubbcluj.ro

DOI: 10.1090/S0002-9939-07-08715-1
PII: S 0002-9939(07)08715-1
Keywords: Singular potential, sublinearity at infinity, multiple solutions
Received by editor(s): November 29, 2005
Received by editor(s) in revised form: March 15, 2006
Posted: February 6, 2007
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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