Some multiplicity results of homoclinic solutions for second order Hamiltonian systems

• Autorzy: Barile Sara , Salvadore Addolorata

Identyfikatory

DOI

10.7494/OpMath.2020.40.1.21

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

second order Hamiltonian systems homoclinic solutions; variational methods; compact embeddings

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2020
• Tom: Vol. 40, no. 1
• Strony: 21--36
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Barile Sara

• Universita degli Studi di Bari Aldo Moro Dipartimento di Matematica Via E. Orabona 4, 70125 Bari, Italy

autor

Salvadore Addolorata

• Universita degli Studi di Bari Aldo Moro Dipartimento di Matematica Via E. Orabona 4, 70125 Bari, Italy

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).