Stationary Kirchhoff systems in closed high dimensional manifolds

DOI10.1142/S0219199715500285zbMath1337.58014MaRDI QIDQ2796990

Emmanuel Hebey, Pierre-Damien Thizy

Publication date: 30 March 2016

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

zbMATH Keywords

critical exponentblow-up theoryelliptic stabilityKirchhoff systems

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Critical exponents in context of PDEs (35B33) Elliptic equations on manifolds, general theory (58J05) Second-order elliptic systems (35J47) PDEs on manifolds (35R01)

Related Items (13)

A priori bounds and existence of positive solutions of an elliptic system of Kirchhoff type in three or four space dimensions ⋮ Multiplicity of solutions for critical Kirchhoff type equations ⋮ Variational analysis for nonlocal Yamabe-type systems ⋮ Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case ⋮ On nonlinear Schrödinger equations on the hyperbolic space ⋮ Lower semicontinuity of Kirchhoff-type energy functionals and spectral gaps on (sub)Riemannian manifolds ⋮ A class of critical \(p\)-Kirchhoff type equations on closed manifolds ⋮ On the nonlinear Schrödinger equation on the Poincaré ball model ⋮ Stationary Kirchhoff equations with powers ⋮ Stationary Kirchhoff equations involving critical growth and vanishing potential ⋮ Stationary Kirchhoff systems in closed 3-dimensional manifolds ⋮ Monotonicity formulas for coupled elliptic gradient systems with applications ⋮ Kirchhoff-type problems on a geodesic ball of the hyperbolic space

Cites Work

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