By combining a technique inspired to the theory of sublinear elliptic equations with the Emden-Fowler inversion technique of Atkinson and Peletier, we obtain uniqueness of positive solutions of the following equation -Δu = λueu θ in B, u > 0, u = 0 on ∂B, where B ⊂ ℝn is the ball of radius one, λ > 0 and 1 < ν ≤ 2.
Uniqueness of positive solutions of nonlinear elliptic equations with exponential growth / C. Tarsi. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 133:6(2003), pp. 1409-1420.
Uniqueness of positive solutions of nonlinear elliptic equations with exponential growth
C. TarsiPrimo
2003
Abstract
By combining a technique inspired to the theory of sublinear elliptic equations with the Emden-Fowler inversion technique of Atkinson and Peletier, we obtain uniqueness of positive solutions of the following equation -Δu = λueu θ in B, u > 0, u = 0 on ∂B, where B ⊂ ℝn is the ball of radius one, λ > 0 and 1 < ν ≤ 2.
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