EXISTENCE ANDA PRIORIBOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES

DOI10.1142/S0219199710004007zbMath1219.58013arXiv1012.3715OpenAlexW2963000855MaRDI QIDQ3056470

Emmanuel Hebey, Olivier Druet

Publication date: 12 November 2010

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3715

zbMATH Keywords

Riemannian manifoldsuniform boundsphase compensationblow-up behaviourelectrostatic Klein-Gordon-Maxwell systemSobolev embeddings, critical elliptic equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Perturbations of PDEs on manifolds; asymptotics (58J37) Second-order elliptic systems (35J47)

Related Items (16)

Existence of ground state solutions for the Schrödinger-Poisson systems ⋮ Schrödinger-Maxwell systems on non-compact Riemannian manifolds ⋮ Variational analysis for nonlocal Yamabe-type systems ⋮ Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds ⋮ Boundary layers to a singularly perturbed Klein-Gordon-Maxwell-Proca system on a compact Riemannian manifold with boundary ⋮ Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case ⋮ Hamiltonian formulation of the Klein-Gordon-Maxwell equations ⋮ Schrödinger-Poisson systems in the 3-sphere ⋮ 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 ⋮ On Lane-Emden systems with singular nonlinearities and applications to MEMS ⋮ Compactness and non-compactness for Yamabe-type problems ⋮ Nonlinear Klein-Gordon-Maxwell systems with Neumann boundary conditions on a Riemannian manifold with boundary ⋮ Semiclassical states for a static supercritical Klein–Gordon–Maxwell–Proca system on a closed Riemannian manifold ⋮ Klein-Gordon-Maxwell equations in high dimensions ⋮ Low energy solutions for singularly perturbed coupled nonlinear systems on a Riemannian manifold with boundary

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