4.2 Article

Uniqueness of L-p subsolutions to the heat equation on Finsler measure spaces

Related references

Note: Only part of the references are listed.
Article Mathematics, Applied

Some Lp Liouville theorems on Finsler measure spaces

Qiaoling Xia

Summary: This paper investigates the forward complete Finsler measure space (M, F, m) with finite reversibility and proves that every nonnegative Lp(p > 1) subharmonic function on M must be constant. Moreover, some Liouville theorems of nonnegative Lp(0 < p < 1) subharmonic functions on M with RicN > -K(K > 0) are established. A weaker condition on RicN is also given, which shows that every nonnegative Lp(0 < p < 1) subharmonic function on M must be constant (actually zero).

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS (2023)

Article Mathematics, Applied

COMPARISON THEOREMS IN FINSLER GEOMETRY WITH WEIGHTED CURVATURE BOUNDS AND RELATED RESULTS

Bing-Ye Wu

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY (2015)

Article Mathematics, Applied

Elliptic problems on the ball endowed with Funk-type metrics

Alexandru Kristaly et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2015)

Article Mathematics

Bochner-Weitzenbock formula and Li-Yau estimates on Finsler manifolds

Shin-ichi Ohta et al.

ADVANCES IN MATHEMATICS (2014)

Article Mathematics, Applied

Local gradient estimate for harmonic functions on Finsler manifolds

Chao Xia

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2014)

Article Mathematics, Applied

Some Liouville-type theorems for harmonic functions on Finsler manifolds

Fu-e Zhang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2014)

Article Mathematics, Applied

Finsler interpolation inequalities

Shin-ichi Ohta

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2009)

Article Mathematics, Applied

Heat Flow on Finsler Manifolds

Shin-Ichi Ohta et al.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2009)