Polynomial growth solutions of uniformly elliptic operators of non-divergence form

DOI10.1090/S0002-9939-01-06167-6zbMath0989.35042OpenAlexW1646181360MaRDI QIDQ2750867

Peter Li, Jiaping Wang

Publication date: 21 October 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06167-6

zbMATH Keywords

periodic coefficients

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Second-order elliptic equations (35J15) Representations of solutions to partial differential equations (35C99)

Related Items (5)

The dimensional estimates of exponential growth solutions to uniformly elliptic equations of non-divergence form ⋮ Polynomial growth harmonic functions on finitely generated Abelian groups ⋮ The polynomial growth solutions to some sub-elliptic equations on the Heisenberg group ⋮ Liouville theorems and spectral edge behavior on abelian coverings of compact manifolds ⋮ Liouville type results for periodic and almost periodic linear operators

Cites Work

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• On the generic eigenvalue flow of a family of metrics and its application
• Harmonic sections of polynomial growth
• Counting dimensions of \(L\)-harmonic functions
• On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus
• Integral representations and Liouville theorems for solutions of periodic elliptic equations

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