Indian Journal of Pure and Applied Mathematics

, Volume 49, Issue 4, pp 621–632 | Cite as

A Variational Approach for One-Dimensional Scalar Field Problems

  • Armin HadjianEmail author


In this paper, we are interested in the existence of infinitely many weak solutions for a onedimensional scalar field problem. By using variational methods, in an appropriate functional space which involves the potential V, we determine intervals of parameters such that our problem admits either a sequence of weak solutions strongly converging to zero provided that the nonlinearity has a suitable behavior at zero or an unbounded sequence of weak solutions if a similar behavior occurs at infinity.

Key words

One-dimensional scalar field problem variational methods infinitely many solutions 


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Copyright information

© The Indian National Science Academy 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Basic SciencesUniversity of BojnordBojnordIran

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