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).

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.

Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in R^2

C. Tarsi
Primo
2008

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).
Exponential growth.; Min-max method; Perturbation from symmetry; Trudinger-Moser inequality; Variational methods
Settore MAT/05 - Analisi Matematica
mar-2008
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/36437
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