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

页数：23

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