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Received February 3, 2017; Accepted August 27, 2017; Published September 8, 2017
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.
How to Cite this Article:
Mohsen Timoumi, Ground state homoclinic orbits of a class of superquadratic damped vibration problems, Communications in Optimization Theory, Vol. 2017 (2017), Article ID 29, pp. 1-25.