THE EXPONENTIAL GROWTH AND DECAY PROPERTIES FOR SOLUTIONS TO ELLIPTIC EQUATIONS IN UNBOUNDED CYLINDERS

DOI10.4134/JKMS.j190836zbMath1459.35122OpenAlexW3005726094MaRDI QIDQ5147421

Lidan Wang, Lihe Wang, Chunqin Zhou

Publication date: 26 January 2021

Full work available at URL: https://www.koreascience.kr:443/article/JAKO202031563539556.pdf

zbMATH Keywords

bounded solutionsunbounded cylinderuniformly elliptic equations of second ordersolutions bounded from below

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (5)

The exponential property of solutions bounded from below to degenerate equations in unbounded domains ⋮ The behavior and classification of solutions bounded from below to degenerate elliptic equations in unbounded cylinders ⋮ The dimensional estimates of exponential growth solutions to uniformly elliptic equations of non-divergence form ⋮ Unnamed Item ⋮ Classification of positive solutions for fully nonlinear elliptic equations in unbounded cylinders

Cites Work

• Positive solutions to elliptic equations in unbounded cylinder
• Positive harmonic functions vanishing on the boundary of certain domains in \(R^ n\).
• Positive harmonic functions that vanish on a subset of a cylindrical surface
• The Martin Boundary of Nta Strips
• On the alexandroff‐bakelman‐pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations
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