Blow up solutions for Sinh-Gordon equation with residual mass

We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where both the positive and negative part of the solution blow up. This is the first result concerning residual mass for the Sinh...

Full description

Saved in:

Bibliographic Details
Published in:	Calculus of variations and partial differential equations Vol. 61; no. 6
Main Authors:	Ao, Weiwei, Jevnikar, Aleks, Yang, Wen
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01-12-2022 Springer Nature B.V
Subjects:	Analysis Calculus of Variations and Optimal Control; Optimization Control Mathematical and Computational Physics Mathematics Mathematics and Statistics Systems Theory Theoretical 35J61 35B44 35J15
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric blow up, i.e. where both the positive and negative part of the solution blow up. This is the first result concerning residual mass for the Sinh-Gordon equation showing in particular that the concentration-compactness theory with vanishing residuals of Brezis-Merle can not be extended to this class of problems.
ISSN:	0944-2669 1432-0835
DOI:	10.1007/s00526-022-02317-1