Multiple solutions for semilinear cone elliptic equations without Ambrosetti–Rabinowitz condition

被引：0
作者：
Nhu Thang Nguyen
Thi Thu Huong Nguyen
机构：
[1] Hanoi National University of Education,Department of Mathematics
[2] Hanoi University of Science and Technology,School of Applied Mathematics and Informatics
来源：
Journal of Pseudo-Differential Operators and Applications | 2019年 / 10卷
关键词：
Cone-degenerate operators; Cone Laplace–Beltrami; Cerami sequences; Fountain theorem; Subcritical growth; 35J20; 35J10; 35J70; 35A15; 35D30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we establish the existence of multiple solutions for a class of semilinear cone degenerate elliptic Dirichlet boundary value problems involving subcritical nonlinearity (cone Sobolev exponent) without the Ambrosetti–Rabinowitz condition. The paper uses singular analysis to control the linear part to provide appropriate functional setting that a variation of the Moutain Pass argument can be applied.
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页码：747 / 767
页数：20
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