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- W2282774948 abstract "We prove a conjecture which was recently formulated by Maia, Montefusco, Pellacci saying that minimal energy solutions of the saturated nonlinear Schrodinger system begin{align*} - Delta u + lambda_1 u &= frac{alpha u(alpha u^2+beta v^2)}{1+s(alpha u^2+beta v^2)} qquadtext{in }mathbb{R}^n, newline - Delta v + lambda_2 v &= frac{beta v(alpha u^2+beta v^2)}{1+s(alpha u^2+beta v^2)}qquadtext{in }mathbb{R}^n end{align*} are necessarily semitrivial whenever $alpha,beta,lambda_1,lambda_2>0$ and $0<s<max{frac{alpha}{lambda_1},frac{beta}{lambda_2}}$ except for the symmetric case $lambda_1=lambda_2,alpha=beta$. Moreover it is shown that for most parameter samples $alpha,beta,lambda_1,lambda_2$ there are infinitely many branches containing seminodal solutions which bifurcate from a semitrivial solution curve parametrized by $s$." @default.
- W2282774948 created "2016-06-24" @default.
- W2282774948 creator A5027556061 @default.
- W2282774948 date "2015-03-31" @default.
- W2282774948 modified "2023-09-27" @default.
- W2282774948 title "Minimal energy solutions and infinitely many bifurcating branches for a class of saturated nonlinear Schrodinger systems" @default.
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