Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2
Articolo
Data di Pubblicazione:
2008
Citazione:
Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2 / C. Tarsi. - In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS. - ISSN 1534-0392. - 7:2(2008 Mar), pp. 445-456.
Abstract:
We consider the following boundary value problem {-Δu = g(x, u) + f(x, u) x ∈ Ω u = 0 x ∈ ∂Ω where g(x, -ξ) = -g(x,ξ) and g has subcritical exponential growth in ℝ2. Using the method developed by Bolle, we prove that this problem has infinitely many solutions under suitable conditions on the growth of g(u) and f(u).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Exponential growth.; Min-max method; Perturbation from symmetry; Trudinger-Moser inequality; Variational methods
Elenco autori:
C. Tarsi
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