Multiple homoclinic solutions for p-Laplacian Hamiltonian systems with concave–convex nonlinearities
The multiplicity of homoclinic solutions is obtained for a class of the p -Laplacian Hamiltonian systems d d t ( | u ˙ ( t ) | p − 2 u ˙ ( t ) ) − a ( t ) | u ( t ) | p − 2 u ( t ) + ∇ W ( t , u ( t ) ) = 0 via variational methods, where a ( t ) is neither coercive nor bounded necessarily and W ( t...
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| Veröffentlicht in: | Boundary value problems 2020-01, Vol.2020 (1), p.1-15, Article 4 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The multiplicity of homoclinic solutions is obtained for a class of the
p
-Laplacian Hamiltonian systems
d
d
t
(
|
u
˙
(
t
)
|
p
−
2
u
˙
(
t
)
)
−
a
(
t
)
|
u
(
t
)
|
p
−
2
u
(
t
)
+
∇
W
(
t
,
u
(
t
)
)
=
0
via variational methods, where
a
(
t
)
is neither coercive nor bounded necessarily and
W
(
t
,
u
)
is under new concave–convex conditions. Recent results in the literature are generalized even for
p
=
2
. |
|---|---|
| ISSN: | 1687-2770 1687-2762 1687-2770 |
| DOI: | 10.1186/s13661-019-01317-z |