Multiple homoclinic solutions for p-Laplacian Hamiltonian systems with concave–convex nonlinearities
Abstract 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 $\frac{d}{dt}(|\dot{u}(t)|^{p-2}\dot{u}(t))-a(t)|u(t)|^{p-2}u(t)+ \nabla W(t,u(t))=0$...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-01-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-019-01317-z |