Existence of semiclassical ground-state solutions for semilinear elliptic systems
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Publication:2908185
DOI10.1017/S0308210511000254zbMath1329.35141OpenAlexW2159403585MaRDI QIDQ2908185
Junxiang Xu, Fubao Zhang, Jun Wang
Publication date: 4 September 2012
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210511000254
Singular perturbations in context of PDEs (35B25) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Second-order elliptic systems (35J47)
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Semiclassical limits of ground states for Hamiltonian elliptic system with gradient term ⋮ Semi-classical states for elliptic system near saddle points of potentials ⋮ Existence and concentration of semiclassical solutions for Hamiltonian elliptic system ⋮ Existence and concentration properties of ground state solutions for elliptic systems ⋮ Ground state solutions of Hamiltonian elliptic systems in dimension two ⋮ Semiclassical states for coupled nonlinear Schrödinger system with competing potentials ⋮ On semiclassical ground state solutions for Hamiltonian elliptic systems
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