Existence and multiplicity results for a fourth order mean field equation
type: Item
instance of: scholarly article
title: Existence and multiplicity results for a fourth order mean field equation
zbMATH Open document ID: 1190.35113
author: Mohamed Ben Ayed
author: Mohameden Ould Ahmedou
published in: Journal of Functional Analysis
publication date: 2010-05-17T00:00:00Z
Mathematics Subject Classification ID: 35J93
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35J91
Mathematics Subject Classification ID: 35A16
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 5708602
zbMATH Keywords: fourth order nonlinear elliptic equation
zbMATH Keywords: critical point at infinity
zbMATH Keywords: Morse theory
zbMATH Keywords: topological methods
MaRDI profile type: Publication
full work available at URL: j.jfa.2010.01.009
OpenAlex ID: W2078157924
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: Concentration phenomena for Liouville's equation in dimension four
cites work: Q3992582
cites work: An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
cites work: The scalar-curvature problem on the standard three-dimensional sphere
cites work: Periodic solutions of Hamiltonian systems of 3-body type
cites work: Singular limits for a 4-dimensional semilinear elliptic problem with exponential nonlinearity
cites work: On the prescribed scalar curvature problem on 4-manifolds
cites work: Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
cites work: Nonlinear elliptic equations in conformal geometry
cites work: Extremal metrics of zeta function determinants on 4-manifolds
cites work: Q4418781
cites work: Sharp estimates for solutions of multi‐bubbles in compact Riemann surfaces
cites work: Topological degree for a mean field equation on Riemann surfaces
cites work: Singular limits for the bi-Laplacian operator with exponential nonlinearity in \(\mathbb R^4\)
cites work: Existence of conformal metrics with constant \(Q\)-curvature
cites work: Bubbling phenomena for fourth-order four-dimensional PDEs with exponential growth
cites work: A minimax theorem in the presence of unbounded Palais-Smale sequences
cites work: Harnack type inequality: The method of moving planes
cites work: Q4850193
cites work: Q3509909
cites work: Topological degree for solutions of fourth order mean field equations
cites work: A deformation lemma with an application to a mean field equation
cites work: Morse theory and a scalar field equation on compact surfaces
cites work: Quantization effects for a fourth-order equation of exponential growth in dimension $4$
cites work: Asymptotic behavior of a fourth order mean field equation with Dirichlet boundary condition
Wikidata QID: Q125370364
DOI: 10.1016/J.JFA.2010.01.009
description: scientific article; zbMATH DE number 5708602