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Journal of Mathematical Physics· 2013Q2

Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

Simone Secchi

Short summary

Researchers constructed ground state solutions for nonlinear fractional Schrödinger equations using a variational approach based on minimization on the Nehari manifold.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Constructed ground state solutions for nonlinear fractional Schrödinger equations.
  • Employed a variational approach.
  • Utilized minimization on the Nehari manifold.
  • Deals with equations involving the fractional Laplacian.

AI-generated from the title and abstract; the full text is not read.

Abstract

We construct solutions to a class of Schrödinger equations involving the fractional Laplacian. Our approach is variational in nature, and based on minimization on the Nehari manifold.

The authors' abstract, as published at the source. Journal of Mathematical Physics, 2013 · DOI ↗

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Field: Applied Mathematics

Applied MathematicsMathematics