We consider the quasilinear elliptic variational system −Δpu = λFu(x, u, v) + μHu(x, u, v) in Ω, −Δqv = λFv(x, u, v) + μHv(x, u, v) in Ω, u = v = 0 on ∂Ω, where Ω is a strip-like domain and λ and μ are positive parameters. Using a recent two-local-minima theorem and the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on F.
Multiple solutions for a quasilinear elliptic variational system on strip-like domains
CAMMAROTO, Filippo;CHINNI', Antonia;DI BELLA, Beatrice
2007-01-01
Abstract
We consider the quasilinear elliptic variational system −Δpu = λFu(x, u, v) + μHu(x, u, v) in Ω, −Δqv = λFv(x, u, v) + μHv(x, u, v) in Ω, u = v = 0 on ∂Ω, where Ω is a strip-like domain and λ and μ are positive parameters. Using a recent two-local-minima theorem and the principle of symmetric criticality, existence and multiplicity are proved under suitable conditions on F.File in questo prodotto:
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