Bifurcation of free vibrations for completely resonant wave equations

有质量或无质量的周期性行进界面水弹性波 II：多重分岔与波纹

Periodic traveling interfacial hydroelastic waves with or without mass II: Multiple bifurcations and ripples

本文研究无限深度界面水弹性行进波中线性化核为二维的共振与非共振情形，利用隐函数定理证明波的存在性，并进行数值计算。

Forced vibrations of wave equations with non-monotone nonlinearities

We prove existence and regularity of periodic in time solutions of completely resonant nonlinear forced wave equations with Dirichlet boundary conditions for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. It turns out that the infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. We solve it via a minimization argument and a-priori estimate methods inspired to regularity theory of Rabinowitz

带有源自沿海渔业捕捞的非Lipschitz非线性边界条件的扩散逻辑斯蒂方程：共振情形

Diffusive logistic equation with a non Lipschitz nonlinear boundary condition arising from coastal fishery harvesting: the resonant case

本文研究沿海渔业捕捞模型对应的带次线性边界条件的逻辑斯蒂型椭圆方程，在共振情形下发展零点处非标准分支技术，刻画依赖参数的正解集。