On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential
The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants $\lambda_0$ and $\lambda_1$ with $\lambda_0\leq \lambda_1$...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2016-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4642 |
| Summary: | The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential. The main result of this paper establishes the existence of two positive constants $\lambda_0$ and $\lambda_1$ with $\lambda_0\leq \lambda_1$ such that every $\lambda\in [\lambda_1, +\infty)$ is an eigenvalue, while $\lambda\in (-\infty,\lambda_0)$ cannot be an eigenvalue of the above problem. |
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| ISSN: | 1417-3875 |