Proceedings of the Royal Society of Edinburgh Section A Mathematics· 2012Q1
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- 676citations
- Q1SCImago
- 2012year
Short summary
This paper establishes the existence of positive solutions for a specific type of nonlinear Schrödinger equation involving the fractional Laplacian operator.
AI-generated from the title and abstract; the full text is not read.
Key points
- Proves existence of positive solutions for a nonlinear Schrödinger equation.
- Incorporates the fractional Laplacian operator.
- Analyzes regularity, decay, and symmetry of the solutions.
AI-generated from the title and abstract; the full text is not read.
Abstract
We study the existence of positive solutions for the nonlinear Schrödinger equation with the fractional Laplacian Furthermore, we analyse the regularity, decay and symmetry properties of these solutions.
The authors' abstract, as published at the source. Proceedings of the Royal Society of Edinburgh Section A Mathematics, 2012 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics