Sign-Changing Solutions for Semilinear Elliptic Equations with Dependence on the Gradient Via the Nehari Method

In this paper, we consider a class of elliptic equation with dependence on the gradient. The existence of sign-changing solutions is established via the Nehari method and iterative technique.

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Bibliographic Details
Published in:Mediterranean journal of mathematics 2017-06, Vol.14 (3), p.1-12, Article 144
Main Authors: Liu, Guanggang, Shi, Shaoyun, Wei, Yucheng
Format: Article
Language:English
Subjects:
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:In this paper, we consider a class of elliptic equation with dependence on the gradient. The existence of sign-changing solutions is established via the Nehari method and iterative technique.
ISSN:1660-5446
1660-5454
DOI:10.1007/s00009-017-0945-3