Asymptotic Profile for a Fourth Order PDE with Critical Exponential Growth in Dimension Four
type: Item
instance of: scholarly article
title: Asymptotic Profile for a Fourth Order PDE with Critical Exponential Growth in Dimension Four
zbMATH Open document ID: 1113.35053
author: Frédéric Robert
author: Michael Struwe
published in: Advanced Nonlinear Studies
publication date: 2005-03-30T00:00:00Z
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B33
Mathematics Subject Classification ID: 35J40
zbMATH DE Number: 2149271
zbMATH Keywords: positive solution
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: critical exponential growth
MaRDI profile type: Publication
full work available at URL: ans-2004-0403
OpenAlex ID: W2513570438
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: Blow-up Analysis in Dimension 2 and a Sharp Form of Trudinger–Moser Inequality
cites work: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
cites work: A global compactness result for elliptic boundary value problems involving limiting nonlinearities
cites work: Positive solutions for a fourth order equation invariant under isometries
cites work: Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients
cites work: Sharp solvability conditions for a fourth-order equation with perturbation
DOI: 10.1515/ANS-2004-0403
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description: scientific article; zbMATH DE number 2149271