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Liouville theorems for harmonic maps
  • Z. Jin
  • Mathematics
  • 1 December 1992
SummaryWe prove several Liouville theorems for harmonic maps between certain classes of Riemannian manifolds. In particular, the results can be applied to harmonic maps from the Euclidean spaceExpand
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PRINCIPAL EIGENVALUES WITH INDEFINITE WEIGHT FUNCTIONS
Both existence and non-existence results for principal eigenvalues of an elliptic operator with indefinite weight function have been proved. The existence of a continuous family of principalExpand
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Multiple solutions for a class of semilinear elliptic equations
We show that for a class of semilinear elliptic equations there are at least three nontrivial solutions. Existence of infinitely many solutions is also shown when the nonlinear term is odd. In ourExpand
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Nonisothermal moisture diffusion experiments analyzed by four alternative equations
SummaryFive steady-state nonisothermal diffusion experiments were performed with one surface maintained at approximately 70°C and the other at 35°C, with the latter at a relative humidity of 65%.Expand
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A COMPARISON PRINCIPLE FOR QUASILINEAR ELLIPTIC EQUATIONS AND ITS APPLICATION
A comparison principle for a class of quasilinear elliptic equations is proved. An application of the comparison principle is given to prove the uniqueness of solutions of Dirichlet problems for aExpand
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A Phragmèn–Lindelöf theorem and the behavior at infinity of solutions of non-hyperbolic equations
We prove a Phragmen-Lindelof theorem which yields the behavior at infinity of bounded solutions of Dirichlet problems for non-hyperbolic (e.g., elliptic, parabolic) quasilinear second-order partialExpand
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Theconvergence Rate of Solutions of Quasilinear Elliptic Equations in Slabs
Solutions of Dirichlet problems for quasilinear elliptic equations in unbounded domains inside a slab are considered. The rate at which solutions converge to their limiting functions at infinity isExpand
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