Article
Multiple Solutions With Constant Sign of a Dirichlet Problem for a Class of Elliptic Systems With Variable Exponent Growth
Discrete and Continuous Dynamical Systems, Series A
Document Type
Article
Publication Date
1-1-2017
DOI
10.3934/dcds.2017095
Disciplines
- Education and
- Mathematics
Abstract
We present here, in the system setting, a new set of growth conditions under which we manage to use a novel method to verify the Cerami compactness condition. By localization argument, decomposition technique and variational methods, we are able to show the existence of multiple solutions with constant sign for the problem without the well-known Ambrosetti--Rabinowitz type growth condition. More precisely, we manage to show that the problem admits four, six and infinitely many solutions respectively.
Citation Information
Li Yin, Jinghua Yao, Qihu Zhang and Chunshan Zhao. "Multiple Solutions With Constant Sign of a Dirichlet Problem for a Class of Elliptic Systems With Variable Exponent Growth" Discrete and Continuous Dynamical Systems, Series A Vol. 37 Iss. 4 (2017) p. 2207 - 2226 ISSN: 1553-5231 Available at: http://works.bepress.com/chunshan_zhao/43/
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