Artículo
Multiplicity results for an anisotropic equation with subcritical or critical growth
Autor/es | Malcher Figueiredo, Giovany de Jesus
Rodrigues dos Santos Júnior, Joao Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015-05 |
Fecha de depósito | 2016-10-21 |
Publicado en |
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Resumen | In this work we show some multiplicity results for the anisotropic equation
− XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a ... In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a positive parameter. Using genus theory, we study the subcritical case gλ(u) = λ|u|q−2u with q ∈ (1, pN) and the critical case gλ(u) = λ|u|q−2u +|u|p*−2u with q ∈ (1, p1) and p* = N| p̅/(N−p̅), with p̅ the harmonic mean of the pi’s. |
Identificador del proyecto | 552101/2011-7
301242/2011-9 200237/2012-8 7155123/2012-9 MTM 2012-31304 |
Cita | Malcher Figueiredo, G.d.J. y Rodrigues dos Santos Júnior, J. (2015). Multiplicity results for an anisotropic equation with subcritical or critical growth. Advanced Nonlinear Studies, 15 (2), 377-394. |
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