Radial solutions of Neumann problems involving mean extrinsic curvature and periodic nonlinearities

被引：26

作者：

Bereanu, Cristian ^{[1
]}

Jebelean, Petru ^{[2
]}

Mawhin, Jean ^{[3
]}

机构：

[1] Acad Romana, Inst Math Simion Stoilow, Bucharest 010702, Romania

[2] W Univ Timisoara, Dept Math, Timisoara 300223, Romania

[3] Catholic Univ Louvain, B-1348 Louvain, Belgium

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2013年 / 46卷 / 1-2期

关键词：

MINKOWSKI SPACES; PHI-LAPLACIANS; OPERATORS; PENDULUM; EQUATION;

D O I：

10.1007/s00526-011-0476-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that if A subset of R-N is an annulus or a ball centered at zero, the homogeneous Neumann problem on A for the equation with continuous data del.(del/nu/root 1-vertical bar del/nu vertical bar(2)) = g(vertical bar x vertical bar, nu) + h(vertical bar x vertical bar) has at least one radial solution when g(|x|, .) has a periodic indefinite integral and integral(A) h(vertical bar x vertical bar) dx = 0. The proof is based upon the direct method of the calculus of variations, variational inequalities and degree theory.

引用

页码：113 / 122

页数：10

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