On construction of Martin boundaries for second order elliptic equations

DOI10.2977/prims/1195170848zbMath0726.31009OpenAlexW2000421044MaRDI QIDQ802801

Minoru Murata

Publication date: 1990

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195170848

zbMATH Keywords

positive solutionsMartin boundarydecomposition methodsMartin kernel

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Martin boundary theory (31C35) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items

Positive solutions to elliptic equations in unbounded cylinder, On positive Liouville theorems and asymptotic behavior of solutions of Fuchsian type elliptic operators, Semismall perturbations in the Martin theory for elliptic equations, Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries, Martin compactification and asymptotics of Green functions for Schrödinger operators with anisotropic potentials, Sharp two-sided heat kernel estimates of twisted tubes and applications, On positive harmonic functions in cones and cylinders, Dirichlet parabolicity and \(\mathsf{L}^{1}\)-Liouville property under localized geometric conditions, The Martin kernel for unbounded domains, Positive solutions to superlinear second-order divergence type elliptic equations in cone-like domains., Unnamed Item, Monotonicity of non-Liouville property for positive solutions of skew product elliptic equations, Harnack inequalities for fuchsian type weighted elliptic equations, Generalized Cranston-McConnell inequalities and Martin boundaries of unbounded domains, Martin boundaries of elliptic skew products, semismall perturbations, and fundamental solutions of parabolic equations, Green's functions for the Schrödinger equation with short-range potentials, Harmonic functions in union of chambers

Cites Work

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