Existence of solutions for a Schrödinger system with linear and nonlinear couplings

DOI10.1063/1.4960046zbMath1344.81075OpenAlexW2479419667MaRDI QIDQ2820869

Zhi-tao Zhang, Kui Li

Publication date: 12 September 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4960046

zbMATH Keywords

Bose-Einstein condensatesNehari manifold

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Many-body theory; quantum Hall effect (81V70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (15)

Ground states for a coupled Schrödinger system with general nonlinearities ⋮ Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings ⋮ Multiple solutions of some elliptic systems with linear couplings ⋮ Symmetry and asymptotic behavior of ground state solutions for Schrödinger systems with linear interaction ⋮ Existence and concentration of positive solutions for a system of coupled saturable Schrödinger equations ⋮ Ground state solutions for linearly coupled elliptic systems with combined Sobolev critical terms ⋮ Existence of nontrivial solutions to Schrödinger systems with linear and nonlinear couplings via Morse theory ⋮ Partial symmetry of normalized solutions for a doubly coupled Schrödinger system ⋮ Normalized solutions to Schrödinger systems with linear and nonlinear couplings ⋮ Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent ⋮ Limit configurations of Schrödinger systems versus optimal partition for the principal eigenvalue of elliptic systems ⋮ Uniqueness of positive solutions to a Schrödinger system with linear and nonlinear couplings ⋮ Distribution of positive solutions to Schrödinger systems with linear and nonlinear couplings ⋮ Uniqueness of positive solutions to some Schrödinger systems ⋮ Existence of ground state solutions to a class of fractional Schrödinger system with linear and nonlinear couplings

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