摘要：The multiplicity of homoclinic solutions is obtained for a class of the p-Laplacian Hamiltonian systems $\frac{d}{dt}( \dot{u}(t) ^{p-2}\dot{u}(t))-a(t) u(t) ^{p-2}u(t)+ \nabla W(t,u(t))=0$ 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 $p=2$..
关键词：Homoclinic solutions ; p -Laplacian operator ; Variational methods ;
