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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.36 (2004)
  6. Lower bounds of Fucik eigenvalues of the weighted one dimensional p-Laplacian
 
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Lower bounds of Fucik eigenvalues of the weighted one dimensional p-Laplacian

Pinasco, Juan Pablo
2004
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ISSN
0049-4704
http://hdl.handle.net/10077/4166
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Abstract
In this paper we obtain a family of curves bounding the region which contains all the non trivial Fucik eigenvalues of the weighted one dimensional p laplacian with Neumann boundary conditions. We obtain different proofs of the isolation result of the trivial lines, and the existence of a gap at infinity between the first curve and the trivial lines. We also give a lower bound for the eigenvalues of the p-Laplacian with Neumann boundary conditions.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
36 (2004)
Subjects
  • Fučik spectrum

  • p-laplacian

  • eigenvalue bounds

  • Lyapunov inequality

Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
Source
Juan Pablo Pinasco, "Lower bounds of Fucik eigenvalues of the weighted one dimensional p-Laplacian", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 36 (2004), pp. 49-64.
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