A transmission problem on $${mathbb{R}^{2}}$$ with critical exponential growth期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

A transmission problem on $${mathbb{R}^{2}}$$ with critical exponential growth

Authors:	Giovany?M.?Figueiredo author-information" > author-information__contact u-icon-before" > mailto:giovany@ufpa.br" title=" giovany@ufpa.br" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,Marcelo?Montenegro

Affiliation:	1.Faculdade de Matemática,Universidade Federal do Pará-UFPA,Belém,Brazil;2.IMECC, Departamento de Matemática,Universidade Estadual de Campinas,Campinas,Brazil

Abstract:	In this work we prove the existence of a nontrivial solution for a transmission problem on ({mathbb{R}^{2}}) with critical exponential growth, that is, the nonlinearity behaves like exp(α₀ s ²) as \|s\| → ∞, for some α₀ > 0.

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