Multiplicity results for a class of superlinear elliptic problems
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- by David G. Costa and Zhi-Qiang Wang
- Proc. Amer. Math. Soc. 133 (2005), 787-794
- DOI: https://doi.org/10.1090/S0002-9939-04-07635-X
- Published electronically: September 8, 2004
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Abstract:
We study a class of superlinear elliptic problems $-\Delta u = \lambda f(u)$ under the Dirichlet boundary condition on a bounded smooth domain in $\mathbb R^N$. Assuming that the nonlinearity $f(u)$ is superlinear in a neighborhood of $u=0$, we study the dependence of the number of signed and sign-changing solutions on the parameter $\lambda$.References
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Bibliographic Information
- David G. Costa
- Affiliation: Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154
- MR Author ID: 51945
- Email: costa@unlv.nevada.edu
- Zhi-Qiang Wang
- Affiliation: School of Mathematics and Computer Sciences, Fujian Normal University, Fuzhou 350007, People’s Republic of China – and – Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322
- MR Author ID: 239651
- Email: wang@math.usu.edu
- Received by editor(s): October 24, 2003
- Published electronically: September 8, 2004
- Communicated by: David S. Tartakoff
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 133 (2005), 787-794
- MSC (2000): Primary 35J20
- DOI: https://doi.org/10.1090/S0002-9939-04-07635-X
- MathSciNet review: 2113928