Nonlinear fractional field equations
type: Item
instance of: scholarly article
title: Nonlinear fractional field equations
zbMATH Open document ID: 1244.35057
author: Jinggang Tan
author: Jianfu Yang
author: Ying Wang
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2012-05-04T00:00:00Z
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35J65
zbMATH DE Number: 6030597
zbMATH Keywords: fractional operator
zbMATH Keywords: existence of solutions
zbMATH Keywords: exponentially decay
reviewed by: Lubomira Softova
MaRDI profile type: Publication
full work available at URL: j.na.2011.10.010
OpenAlex ID: W1975040257
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DOI: 10.1016/J.NA.2011.10.010
review text: The authors study the existence of ground state solutions and bounded state solutions for fractional field equations NEWLINE\[NEWLINE (-\Delta +id)^\frac12 u=f(u) \quad \text{in} \;\mathbb R^n, \quad u\in H^\frac12(\mathbb R^n). NEWLINE\]NEWLINE Such solutions decay exponentially at infinity.
description: scientific article; zbMATH DE number 6030597