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 on∂Ω, 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
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
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