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BIBTEX RIS

Multiplicity Results for an Anisotropic Equation with Subcritical or Critical Growth

2015; De Gruyter; Volume: 15; Issue: 2 Linguagem: Inglês

10.1515/ans-2015-0206

ISSN

2169-0375

Autores

Giovany M. Figueiredo, João R. Santos Júnior, António Suárez,

Tópico(s)

Stability and Controllability of Differential Equations

Resumo

Abstract In this work we show some multiplicity results for the anisotropic equation where Ω ⊂ℝ N is a bounded smooth domain, 1 < p 1 ≤ p 2 ≤ . . . ≤ p N and λ is a positive parameter. Using genus theory, we study the subcritical case g λ (u) = λ|u| q−2 u with q ∈ (1, p N ) and the critical case g λ (u) = λ|u| q−2 u +|u| p*−2 u with q ∈ (1, p 1 ) and p* = N| p̅/(N−p̅), with p̅ the harmonic mean of the p i ’s.

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