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2. Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in [formula omitted].
3. Mass threshold of the limit behavior of normalized solutions to Schrödinger equations with combined nonlinearities.
4. Energy conservation for weak solutions of incompressible fluid equations: The Hölder case and connections with Onsager's conjecture.
5. Global asymptotic stability of nonautonomous master equations: A proof of the Earnshaw–Keener conjecture.
6. Bernstein problem of affine maximal type hypersurfaces on dimension N ≥ 3.
7. Proof of Artés–Llibre–Valls's conjectures for the Higgins–Selkov and the Selkov systems.
8. A proof of Jones' conjecture.
9. Blow-up rates of solutions of initial-boundary value problems for a quasi-linear parabolic equation.
10. Finite time blow-up in nonlinear suspension bridge models.
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