The paper proves several existence theorems for L2-normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities.
Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
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abstract
We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an $L^2$-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
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Normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities
The paper proves several existence theorems for L2-normalized solutions of nonlinear Dirac equations on noncompact metric graphs with localized nonlinearities.