哈密顿型椭圆方程组解的存在性与多重性

Existence and Multiplicity Solutions for Elliptic Systems of Hamiltonian Type

建立周期哈密顿型方程组的变分框架,在超线性情形下利用强不定泛函临界点理论证明解的存在性与多重性。

This paper is concerned with the periodic Hamiltonian elliptic systems,we will set up a proper variational framework,existence and multiplicity of solutions are obtained for superqua-dratic linear nonlinearity via variational methods for strongly indefinite problems.