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In this paper, we introduce the notion of the generalized symphonic map with respect to the functional $\Phi_\varepsilon$. Then we use the stress-energy tensor to obtain some monotonicity formulas and some Liouville results for these maps. We also obtain some Liouville type results by assuming some conditions on the asymptotic behavior of the maps at infinity.
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참고문헌 (32)
참고문헌 신청
S. Asserda / 2012 / Liouville-type results for stationary maps of a class of functional related to pullback metrics / Nonlinear Anal 75(8):3480~3492
P. Baird / 2008 / Stress-energy tensors and the Lichnerowicz Laplacian / J. Geom. Phys 58(10):1329~1342
F. Bethuel / 1993 / Asymptotics for the minimization of a Ginzburg-Landau functional / Calc. Var. Partial Differential Equations 1(2):123~148
F. Bethuel / 1994 / Progress in Nonlinear Differential Equations and their Applications, 13 / Birkhauser Boston, Inc
H. Brezis / 1994 / Quantization effects for - = ∆μ(1 -lμl²) in R² / Arch. Rational Mech. Anal 126(1):35~58
P. Baird / 2008 / Stress-energy tensors and the Lichnerowicz Laplacian / J. Geom. Phys 58(10):1329~1342
F. Bethuel / 1993 / Asymptotics for the minimization of a Ginzburg-Landau functional / Calc. Var. Partial Differential Equations 1(2):123~148
F. Bethuel / 1994 / Progress in Nonlinear Differential Equations and their Applications, 13 / Birkhauser Boston, Inc
H. Brezis / 1994 / Quantization effects for - = ∆μ(1 -lμl²) in R² / Arch. Rational Mech. Anal 126(1):35~58
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