Boundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundary

DOI10.1515/anona-2017-0039zbMath1419.35019OpenAlexW2737044714WikidataQ115237015 ScholiaQ115237015MaRDI QIDQ2417228

Anna Maria Micheletti, Marco Ghimenti, Mónica Clapp

Publication date: 12 June 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2017-0039

zbMATH Keywords

Neumann boundary conditionssupercritical nonlinearityRiemannian manifold with boundaryelectrostatic Klein-Gordon-Maxwell-Proca system

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Elliptic equations on manifolds, general theory (58J05)

Related Items (3)

Isometry-invariant solutions to a critical problem on non-compact Riemannian manifolds ⋮ Standing waves for nonautonomous Klein-Gordon-Maxwell systems ⋮ On critical Klein-Gordon-Maxwell systems with super-linear nonlinearities

Cites Work

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• Construction of solutions for a nonlinear elliptic problem on Riemannian manifolds with boundary
• Concentration on Hopf-fibres for singularly perturbed elliptic equations
• Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems
• Singularly perturbed elliptic equations with solutions concentrating on a 1-dimensional orbit
• The role of the scalar curvature in a nonlinear elliptic problem on Riemannian manifolds
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• Addendum: Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Resonant states for the static Klein-Gordon-Maxwell-Proca system
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• Solutions to a singularly perturbed supercritical elliptic equation on a Riemannian manifold concentrating at a submanifold
• Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary
• Number and profile of low energy solutions for singularly perturbed Klein-Gordon-Maxwell systems on a Riemannian manifold
• The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds
• Layered solutions for a semilinear elliptic system in a ball
• A reduction method for semilinear elliptic equations and solutions concentrating on spheres
• Singularly perturbed nonlinear elliptic problems on manifolds
• Clustered solutions around harmonic centers to a coupled elliptic system
• Klein-Gordon-Maxwell systems in a bounded domain
• Semiclassical states for a static supercritical Klein–Gordon–Maxwell–Proca system on a closed Riemannian manifold
• Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds
• Double- and single-layered sign-changing solutions to a singularly perturbed elliptic equation concentrating at a single sphere
• Scalar Curvature and Warped Products of Riemann Manifolds
• EXISTENCE ANDA PRIORIBOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Coupled Klein—Gordon and Born—Infeld-type equations: looking for solitary waves
• SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE

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