논문KCI 등재
Subgradient estimates for a nonlinear subelliptic equation on complete pseudohermitian manifold
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Let $(M,J,\theta)$ be a complete pseudohermintian $(2n+1)$-mani\-fold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subelliptic equation $\triangle_b u+a u\log u+b u=0$ on $M$, where $a\leq 0$, $b$ are two real constants.
Abstract
Let $(M,J,\theta)$ be a complete pseudohermintian $(2n+1)$-mani\-fold. In this paper, we derive the subgradient estimate for positive solutions to a nonlinear subelliptic equation $\triangle_b u+a u\log u+b u=0$ on $M$, where $a\leq 0$, $b$ are two real constants.
참고문헌 (9)
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- S.-C. Chang, "Yau's gradient estimate and Liouville theroem for positive pseudoharmonic functions in a complete pseudohermitian manifold", ~
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- S. T. Yau, "Harmonic functions on complete Riemannian manifolds", Comm. Pure Appl. Math., 28, pp.201~228 (1975)[DOI]
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