Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2018.02.002
Abstract: We construct clustering positive solutions for a perturbed critical elliptic equation on a closed manifold of dimension $n=4,5$. Such a construction is already available in the literature in dimensions $n\ge 6$ (see for instance [8,12,27,29,33])… read more here.
Keywords: positive clusters; elliptic equation; clusters smooth; smooth perturbations ... See more keywords
Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method
Sign Up to like & getrecommendations! Published in 2017 at "Electronic Journal of Qualitative Theory of Differential Equations"
DOI: 10.14232/ejqtde.2017.1.79
Abstract: In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov… read more here.
Keywords: hamiltonian centers; limit cycles; regularization method; piecewise smooth ... See more keywords