Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case
type: Item
instance of: scholarly article
title: Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case
author: Emmanuel Hebey
published in: Advances in Differential Equations
publication date: 2022-03-14T00:00:00Z
full work available at URL: ade027-0506-253.full
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 78A02
Mathematics Subject Classification ID: 78A35
Mathematics Subject Classification ID: 81T13
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 58J90
zbMATH DE Number: 7488528
zbMATH Keywords: Bopp-Podolsky-Schrödinger-Proca systems
zbMATH Keywords: Schrödinger-Poisson-Proca systems
zbMATH Keywords: blowing-up solutions
MaRDI profile type: Publication
cites work: Q4093975
cites work: Q3657016
cites work: Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case
cites work: On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
cites work: An eigenvalue problem for the Schrödinger-Maxwell equations
cites work: Spinning Q-balls for the Klein-Gordon-Maxwell equations
cites work: Solitons in Schrödinger-Maxwell equations
cites work: A note on the Sobolev inequality
cites work: Blow-up phenomena for the Yamabe equation
cites work: Blow-up phenomena for the Yamabe equation. II
cites work: Infinitely many solutions for the Schrödinger equations in \(\mathbb R^N\) with critical growth
cites work: Two-bubble solutions in the super-critical Bahri-Coron's problem
cites work: New Type of Sign-Changing Blow-up Solutions for Scalar Curvature Type Equations
cites work: Sobolev spaces of differential forms and de Rham-Hodge isomorphism
cites work: From one bubble to several bubbles: the low-dimensional case.
cites work: Q5693323
cites work: Blow-up examples for second order elliptic PDEs of critical Sobolev growth
cites work: Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium
cites work: Q4827374
cites work: The effect of linear perturbations on the Yamabe problem
cites work: Q5187597
cites work: Compactness and stability for nonlinear elliptic equations
cites work: Electro-magneto-static study of the nonlinear Schrödinger equation coupled with Bopp-Podolsky electrodynamics in the Proca setting
cites work: Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case
cites work: Schrödinger–Poisson–Proca systems in EMS regime
cites work: From best constants to critical functions
cites work: Resonant states for the static Klein-Gordon-Maxwell-Proca system
cites work: Schrödinger-Poisson systems in the 3-sphere
cites work: SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
cites work: A compactness theorem for the Yamabe problem
cites work: YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
cites work: A priori estimates for the Yamabe problem in the non-locally conformally flat case
cites work: Towering phenomena for the Yamabe equation on symmetric manifolds
cites work: Clustering Phenomena for Linear Perturbation of the Yamabe Equation
cites work: Bubbling above the threshold of the scalar curvature in dimensions four and five
cites work: Blowing up solutions for an elliptic Neumann problem with sub- or supercritical nonlinearity. I: \(N=3\)
cites work: Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
cites work: Q3359340
cites work: Q5839544
cites work: Non-resonant states for Schrödinger-Poisson critical systems in high dimensions
cites work: Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds
cites work: Blow-up for Schrödinger-Poisson critical systems in dimensions 4 and 5
cites work: Phase Stability for Schrödinger–Poisson Critical Systems in Closed 5-Manifolds
cites work: The Lin-Ni conjecture in negative geometries
cites work: Unstable phases for the critical Schrödinger-Poisson system in dimension 4.
cites work: Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five
cites work: Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four
cites work: Self-interaction in the Bopp-Podolsky electrodynamics: Can the observable mass of a charged particle depend on its acceleration?
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description: scientific article; zbMATH DE number 7488528