Existence of infinitely many solutions for the (p,q)-Laplace equation

被引：11
|
作者：
Komiya, Yukinori [1 ]
Kajikiya, Ryuji [2 ]
机构：
[1] Saga Univ, Grad Sch Sci & Engn, Saga 8408502, Japan
[2] Saga Univ, Dept Math, Fac Sci & Engn, Saga 8408502, Japan
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2016年 / 23卷 / 04期
关键词：
(p; q)-Laplace equation; superlinear; sublinear; infinitely many solutions; a priori estimate; variational method; Q ELLIPTIC PROBLEMS; Q-LAPLACIAN TYPE; NONTRIVIAL SOLUTION; POSITIVE SOLUTIONS; CONVEX NONLINEARITIES; CRITICAL EXPONENT; Q)-LAPLACIAN; (P; MULTIPLICITY; CONCAVE;
D O I：
10.1007/s00030-016-0402-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the (p,q)-Laplace equation in a bounded domain under the Dirichlet boundary condition. We give a sufficient condition of the nonlinear term for the existence of a sequence of solutions converging to zero or diverging to infinity. Moreover, we give a priori estimates of the C-1-norms of solutions under a suitable condition on the nonlinear term.
引用
收藏
页数：23
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