DOI

We study entire bounded solutions to the equation Δu−u+u3=0 in R2. Our approach is purely variational and is based on concentration arguments and symmetry considerations. This method allows us to construct in an unified way several types of solutions with various symmetries (radial, breather type, rectangular, triangular, hexagonal, etc.), both positive and sign-changing. It is also applicable for more general equations in any dimension.

Язык оригиналаанглийский
Номер статьи111590
Число страниц21
ЖурналNonlinear Analysis, Theory, Methods and Applications
Том190
Дата раннего онлайн-доступа17 авг 2019
DOI
СостояниеОпубликовано - 1 янв 2020

    Предметные области Scopus

  • Анализ
  • Прикладная математика

ID: 45872378