Schrodinger Equation with Asymptotically Linear Nonlinearities

被引：5
|
作者：
El-Abed, Amel [1 ,2 ]
Ben Ali, Abir Amor [3 ]
Dammak, Makkia [1 ,4 ,5 ]
机构：
[1] Taibah Univ, Dept Math, Coll Sci, Medina, Saudi Arabia
[2] Tanta Univ, Fac Sci, Dept Math, Tanta, Egypt
[3] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia
[4] Univ Sfax, Fac Sci, Dept Math, Sfax, Tunisia
[5] Univ Tunis El Manar, Fac Sci Tunis, Nonlinear Anal & Geometr Lab LR21ES08, Tunis, Tunisia
来源：
FILOMAT | 2022年 / 36卷 / 02期
关键词：
Asymptotically linear; variational method; Schrodinger equations; Cerami sequence; BIFURCATION PROBLEM; EXISTENCE; CONVEX;
D O I：
10.2298/FIL2202629E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a quasilinear Schrodinger problem under Dirichlet boundary condi-tion in a regular domain with asymptotically linear nonlinearities. We use Cerami version of the mountain pass theorem to prove the existence of solution without using the Ambrosetti-Rabionovitz condition or any of its refinements. Then, we prove that the same techniques work when the nonlinearity is superlinear and subcritical at infinity.
引用
收藏
页码：629 / 639
页数：11
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