R^2中具有指数Neumann数据的椭圆方程的冒泡解

IF 1.2 2区数学 Q1 MATHEMATICS

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze Pub Date : 2014-01-01 DOI:10.2422/2036-2145.201204_007

Shengbing Deng, M. Musso

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引用次数: 3

摘要

设↓为R2中具有光滑边界的有界域;我们研究了以下的Neumann问题8>< >:- 1u + u = 0 in´@u @ = %u p - 1eu p on @，(0.1)其中，是@的外法向量，% > 0是一个小参数，且0 < p < 2。我们用Lyapunov-Schmidt约简过程构造了问题(0.1)的冒泡解。

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Bubbling solutions for an elliptic equation with exponential Neumann data in R^2

Let be a bounded domain in R2 with smooth boundary; we study the following Neumann problem 8>< >: −1u + u = 0 in @u @⌫ = %u p−1eu p on @, (0.1) where ⌫ is the outer normal vector of @, % > 0 is a small parameter and 0 < p < 2. We construct bubbling solutions to problem (0.1) by a Lyapunov-Schmidt reduction procedure.

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来源期刊

Annali Della Scuola Normale Superiore Di Pisa-Classe Di Scienze 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Annals of the Normale Superiore di Pisa, Science Class, publishes papers that contribute to the development of Mathematics both from the theoretical and the applied point of view. Research papers or papers of expository type are considered for publication. The Annals of the Normale Scuola di Pisa - Science Class is published quarterly Soft cover, 17x24