期刊
ADVANCED NONLINEAR STUDIES
卷 16, 期 4, 页码 737-764出版社
WALTER DE GRUYTER GMBH
DOI: 10.1515/ans-2016-0023
关键词
Critical Growth; Almost Critical Growth; Boundedness of Weak Solutions; Nonlinear Regularity and Nonlinear Maximum Principle; Superlinear Reaction; Three Nontrivial Solutions; Critical Groups
资金
- Partnership Program in Priority Areas - PN II, MEN - UEFISCDI [PN-II-PT-PCCA-2013-4-0614]
We consider a nonlinear Robin problem driven by a nonlinear, nonhomogeneous differential operator, and with a Caratheodory reaction term which is (p-1)-superlinear near +/-infinity without satisfying the Ambrosetti-Rabinowitz condition and which does not have a standard subcritical polynomial growth. Using a combination of variational methods and Morse theoretic techniques, we prove a multiplicity theorem producing three nontrivial solutions (two of which have constant sign). In the process we establish some useful facts about the boundedness of the weak solutions of critical equations and the relation of Sobolev and Holder local minimizers for functionals with a critical perturbation term.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据