Abstract
The existence and multiplicity of homoclinic solutions are obtained for Hamiltonian systems of p-Laplacian-like type \(\frac{d}{dt}(\varphi (t,{\dot{u}}))-a(t)|u(t)|^{p-2}u(t)+\lambda \nabla W(t,u(t))=0\) via variational methods, where a(t) is bounded and W(t, u) is under concave-convex conditions. Recent results in the literature are generalized and improved significantly.
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Wan, L., Chen, J. Homoclinic Solutions for Hamiltonian Systems of p-Laplacian-Like Type. Qual. Theory Dyn. Syst. 19, 60 (2020). https://doi.org/10.1007/s12346-020-00397-y
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DOI: https://doi.org/10.1007/s12346-020-00397-y