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- W1994346544 abstract "We prove sharp existence and nonexistence results for minimal energy solutions of the nonlinear Schrödinger system 1 $$left.begin{array}{ll}quad -Delta u + u = |u|^{2q-2}u + b|u|^{q-2}u|v|^q quad {rm in} , mathbb{R}^{n}, -Delta v + omega^2 v = |v|^{2q-2}v + b|u|^q|v|^{q-2}v quad {rm in} , mathbb{R}^{n}end{array}right.$$ in the cooperative and subcritical case $${b > 0, 1 < q < frac{n}{(n-2)_+}}$$ . The proofs are accomplished by minimizing the Euler functional of (1) over the two associated Nehari manifolds. In the special case $${1 < q < 2}$$ we find that a positive solution of (1) with minimal energy among all nontrivial solutions exists if and only if b > 0." @default.
- W1994346544 created "2016-06-24" @default.
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- W1994346544 date "2014-07-25" @default.
- W1994346544 modified "2023-10-14" @default.
- W1994346544 title "Minimal energy solutions for cooperative nonlinear Schrödinger systems" @default.
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- W1994346544 doi "https://doi.org/10.1007/s00030-014-0281-2" @default.
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