Multiple solutions for elliptic problems with singular and sublinear potentials
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- by Alexandru Kristály and Csaba Varga PDF
- Proc. Amer. Math. Soc. 135 (2007), 2121-2126 Request permission
Abstract:
For certain positive numbers $\mu$ and $\lambda ,$ we establish the multiplicity of solutions to the problem \[ \left \{ \begin {array}{lll} -\triangle u=\mu \frac {u}{|x|^2}+\lambda f(u)& \textrm {a.e.\ in} \ \Omega , u=0 & \textrm {on}\ \partial \Omega , \end {array}\right . \] 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.References
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Additional Information
- Alexandru Kristály
- Affiliation: University of Babeş-Bolyai, Faculty of Economics, Str. Teodor Mihali 58-60, RO-400591, Cluj Napoca, Romania
- Email: alexandrukristaly@yahoo.com
- Csaba Varga
- Affiliation: University of Babeş-Bolyai, Faculty of Mathematics and Computer Science, Str. Kogalniceanu 1, RO-400084, Cluj-Napoca, Romania
- Email: csvarga@math.ubbcluj.ro
- Received by editor(s): November 29, 2005
- Received by editor(s) in revised form: March 15, 2006
- Published electronically: February 6, 2007
- Communicated by: David S. Tartakoff
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 2121-2126
- MSC (2000): Primary 35J60, 35J65
- DOI: https://doi.org/10.1090/S0002-9939-07-08715-1
- MathSciNet review: 2299489