Open Access
September 2003 Sur le spectre de Fučik avec poids
B. Bentahar, A. Massghati
Bull. Belg. Math. Soc. Simon Stevin 10(3): 355-368 (September 2003). DOI: 10.36045/bbms/1063372342

Abstract

Let ΩΩ be a bounded domain in RN and m1, m2 two functions in L(Ω). In the present work, we study a new spectrum constitued by the set of pairs (α,β) of \R2 for which the problem {u=αm1u+\bem2u inΩ,u=0 onΩ, has a nontrivial solution, where u±=\dimax(0,±u). We study then the nonresonance with respect to this spectrum in a non autonomous problem.

Citation

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B. Bentahar. A. Massghati. "Sur le spectre de Fučik avec poids." Bull. Belg. Math. Soc. Simon Stevin 10 (3) 355 - 368, September 2003. https://doi.org/10.36045/bbms/1063372342

Information

Published: September 2003
First available in Project Euclid: 12 September 2003

zbMATH: 1078.35038
MathSciNet: MR2016809
Digital Object Identifier: 10.36045/bbms/1063372342

Subjects:
Primary: 35J67

Keywords: degré de Leray-Schauder , Laplacien , non résonance , point selle , Spectre de Fučik

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 3 • September 2003
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