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- W1569254497 abstract "In this paper, we study the homoclinic solutions of the following second‐order Hamiltonian system urn:x-wiley:0025584X:media:mana201200253:mana201200253-math-0001 where , and . Applying the symmetric Mountain Pass Theorem, we establish a couple of sufficient conditions on the existence of infinitely many homoclinic solutions. Our results significantly generalize and improve related ones in the literature. For example, is not necessary to be uniformly positive definite or coercive; through is still assumed to be superquadratic near , it is not assumed to be superquadratic near ." @default.
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- W1569254497 date "2015-07-29" @default.
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- W1569254497 title "Infinitely many homoclinic solutions for a second-order Hamiltonian system" @default.
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- W1569254497 doi "https://doi.org/10.1002/mana.201200253" @default.
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