Please login to be able to save your searches and receive alerts for new content matching your search criteria.
We compute several identities relating curvature actions to second-order differential operators on twistors and sections of related bundles. Based on these formulas, we establish various estimates and vanishing theorems.
In this paper, we give the boundedness of solutions to Ginzburg–Landau fractional Laplacian equation, which extends the Herve–Herve theorem into the nonlinear fractional Laplacian equation. We follow Brezis’ idea to use the Kato inequality. A related linear fractional Schrödinger equation is also studied.