Discrete nonlinear Schrodinger equations with superlinear nonlinearities

作者：Chen Guanwei^*; Ma Shiwang

来源：Applied Mathematics and Computation, 2012, 218(9): 5496-5507.

DOI：10.1016/j.amc.2011.11.038

• Discrete nonlinear schrodinger equations
• Superlinear nonlinearities
• Nontrivial solitons
• Spectral gap
• Spectral endpoint

In this paper, we study the discrete nonlinear equation.
Lu-n - omega u(n) = sigma chi(n)g(n)(u(n)), n is an element of Z,
where x belongs to a finite spectral gap of the operator L or it is a lower edge of a finite spectral gap. By using a variant generalized weak linking theorem for strongly indefinite problem developed by Schechter and Zou, we will study the existence of nontrivial solitons for this equation with g(n) is super linear.

• 出版日期2012-1
• 单位南开大学