do O, Joao MarcosUbilla, Pedro2020-09-142020-09-142003-02-14Marcos do O, J., & Ubilla, P. (2003). A multiplicity result for a class of superquadratic Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2003</i>(15), pp. 1-14.1072-6691https://hdl.handle.net/10877/12606We establish the existence of two nontrivial solutions to semilinear elliptic systems with superquadratic and subcritical growth rates. For a small positive parameter λ, we consider the system -∆v = λƒ(u) in Ω, -∆u = g(v) in Ω, u = v = 0 on ∂Ω, where Ω is a smooth bounded domain in ℝN with N ≥ 1. One solution is obtained applying Ambrosetti and Rabinowitz's classical Mountain Pass Theorem, and the other solution by a local minimization.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic systemsMinimax techniquesMountain Pass TheoremEkeland's variational principleMultiplicity of solutionsArticle