Ground state homoclinic orbits of a class of superquadratic damped vibration problems
Abstract:Abstract. Based on a new kind of superquqdratic condition instead of the global Ambrosetti-Rabinowitz superquadratic condition, the existence of homoclinic solutions for damped vibration problems is investigated and a new compact embedding theorem is established. The main idea lies in an application of a variant generalized weak linking theorem for the strongly indefinite problem developed by Schechter and Zou.
UDC 517.9
We study the existence of multiple fast homoclinic solutions for a class of second-order differential systems with
p
-Laplacian by using the minimax methods in the critical-point theory.
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