Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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 оригинала | английский |
---|---|
Номер статьи | 111590 |
Число страниц | 21 |
Журнал | Nonlinear Analysis, Theory, Methods and Applications |
Том | 190 |
Дата раннего онлайн-доступа | 17 авг 2019 |
DOI | |
Состояние | Опубликовано - 1 янв 2020 |
ID: 45872378