On a singular semilinear elliptic boundary value problem and the boundary Harnack principle

DOI10.1023/A:1016122901605zbMath1058.35072arXivmath/9906213OpenAlexW3010487272MaRDI QIDQ1611284

Siva R. Athreya

Publication date: 21 August 2002

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906213

zbMATH Keywords

boundary value problemGreen functionsemilinear partial differential equationssingular elliptic equationsboundary Harnack Principle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Brownian motion (60J65)

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Existence of positive bounded solutions of semilinear elliptic problems ⋮ ESTIMATES ON THE GREEN FUNCTION AND EXISTENCE OF POSITIVE SOLUTIONS FOR SOME NONLINEAR POLYHARMONIC PROBLEMS OUTSIDE THE UNIT BALL ⋮ Existence results for polyharmonic boundary value problems in the unit ball ⋮ On the existence of positive solutions of singular nonlinear elliptic equations with Dirichlet boundary conditions ⋮ Existence of positive solutions for nonlinear boundary value problems in bounded domains of \(\mathbb R^n\) ⋮ Existence results for some polyharmonic problems in the half-space ⋮ Existence of positive bounded solutions for some nonlinear elliptic systems

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