The growth of the positive solutions of Lu = 0 near the boundary of an inner NTA domain

DOI10.1017/S0027763000002907zbMath0665.31006MaRDI QIDQ3816313

Katsunori Shimomura

Publication date: 1988

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

uniquenesspositive solutionexplicit boundsuniformly ellipticHölder continuous coefficientsL- superharmonicnon-tangentially accessible

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15)

Cites Work

• A uniqueness theorem for nonnegative superharmonic functions in planar domains
• Boundary behavior of harmonic functions in non-tangentially accessible domains

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