Index theory for linear selfadjoint operator equations and nontrivial solutions for asymptotically linear operator equations

被引：40

作者：

Dong, Yujun ^{[1
]}

机构：

[1] Nanjing Normal Univ, Dept Math, Nanjing 210097, Jiangsu, Peoples R China

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 38卷 / 1-2期

关键词：

MASLOV-TYPE INDEX; BOUNDARY-VALUE-PROBLEMS; PARTIAL-DIFFERENTIAL-EQUATIONS; MINIMAL PERIOD PROBLEM; HAMILTONIAN-SYSTEMS; MULTIPLE SOLUTIONS; CLOSED CHARACTERISTICS; CONVEX HYPERSURFACES; SYMPLECTIC PATHS; RESONANCE;

D O I：

10.1007/s00526-009-0279-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop index theories for linear selfadjoint operator equations and investigate multiple solutions for asymptotically linear operator equations. The operator equations consist of two kinds: the first has finite Morse index and can be used to investigate second order Hamiltonian systems and elliptic partial differential equations; the second may have infinite Morse index and can be used to investigate first order Hamiltonian systems.

引用

页码：75 / 109

页数：35

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