p(x)-LAPLACIAN EQUATIONS WITH SUBCRITICAL GROWTH WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION

被引：0
作者：
Xia, Qi [1 ]
Feng, Xinlong [1 ]
He, Yinnian [1 ,2 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2024年
关键词：
p(x)-Laplacian equation; subcritical growth; the Mountain-Pass Theorem; without the (AR) condition; SUPERLINEAR PROBLEMS; R-N; EXISTENCE; THEOREMS; LAPLACIAN;
D O I：
10.3934/dcdss.2024146
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to deal with the superlinear elliptic problem, which does not satisfy the Ambrosetti-Rabinowitz condition near infinity. With the Hahn-Banach Theorem, we overcome the difficulty that the Palais-Smale sequences of the functional are bounded. Some existence and multiplicity results for nontrivial solutions are obtained by using the Mountain-Pass Theorem and the Fountain Theorem. Our work is to promote and innovate on the basis of a recent result of [32].
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收藏
页码：1805 / 1819
页数：15
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