- Tytuł:
- Some multiplicity results of homoclinic solutions for second order Hamiltonian systems
- Autorzy:
-
Barile, Sara
Salvadore, Addolorata - Powiązania:
- https://bibliotekanauki.pl/articles/255922.pdf
- Data publikacji:
- 2020
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
second order Hamiltonian systems homoclinic solutions
variational methods
compact embeddings - Opis:
- We look for homoclinic solutions [formula] to the class of second order Hamiltonian systems [formula] where [formula] and a, b : R → R are positive bounded functions, [formula] are positive homogeneous functions and [formula]. Using variational techniques and the Pohozaev fibering method, we prove the existence of infinitely many solutions if = 0 and the existence of at least three solutions if ƒ is not trivial but small enough.
- Źródło:
-
Opuscula Mathematica; 2020, 40, 1; 21-36
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł