Nonlinear Bound States on Weakly Homogeneous Spaces

DOI10.1080/03605302.2013.845044zbMath1290.58012arXiv1203.3612OpenAlexW2081065853MaRDI QIDQ5413805

Jason Metcalfe, Hans Christianson, Jeremy L. Marzuola, Michael E. Taylor

Publication date: 2 May 2014

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.3612

zbMATH Keywords

nonlinear Schrödinger equationbound statestanding waveweakly homogeneous space

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) NLS equations (nonlinear Schrödinger equations) (35Q55) Elliptic equations on manifolds, general theory (58J05)

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Extremal values of the (fractional) Weinstein functional on the hyperbolic space ⋮ A special class of nonlinear hypoelliptic equations on spheres ⋮ Gross--Pitaevskii Vortex Motion with Critically Scaled Inhomogeneities ⋮ A symplectic perspective on constrained eigenvalue problems ⋮ Construction of solutions for some localized nonlinear Schrödinger equations ⋮ Higher dimensional vortex standing waves for nonlinear Schrödinger equations ⋮ Partial symmetry and existence of least energy solutions to some nonlinear elliptic equations on Riemannian models ⋮ Compactons and their variational properties for degenerate KdV and NLS in dimension 1 ⋮ Existence and Stability of Schrödinger Solitons on Noncompact Manifolds ⋮ Dispersive estimates for scalar and matrix Schrödinger operators on \(\mathbb H^{n+1}\)

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