Abstract
In this article, we study the following nonhomogeneous Schr\(\ddot{o}\)dinger equation
where V(x) is a given positive potential. Under some suitable assumptions on V, f and k, the existence of multiple solutions is proved using the Ekeland’s variational principle and the Mountain Pass Theorem in critical point theory.
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This work is partially supported by NNSF (No:11001274) of China.
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Liang, R., Shang, T. Multiple Solutions for Nonhomogeneous Schr\(\ddot{o}\)dinger Equations. Mediterr. J. Math. 18, 59 (2021). https://doi.org/10.1007/s00009-021-01702-y
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DOI: https://doi.org/10.1007/s00009-021-01702-y