Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity

Adimurthi, . (1998) Uniqueness of positive solutions of a quasilinear Dirichlet problem with exponential nonlinearity Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 128 (5). pp. 895-906. ISSN 0308-2105

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Official URL: https://www.cambridge.org/core/journals/proceeding...

Related URL: http://dx.doi.org/10.1017/S030821050002998X

Abstract

Uniqueness of positive solutions of the following equation: –div(|Vu|n-2Vu = λun-1eu in B, u>0 in B, u = 0 on δB has been obtained, where B ⊂ ℝn is the ball of unit radius and λ > 0. Moreover, if n = 2, then the solutions are nondegenerate.

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