Behaviour of solutions of elliptic differential inequalities near a point of discontinuous boundary data

DOI10.1080/03605308308820299zbMath0533.35040OpenAlexW1989885251MaRDI QIDQ3315882

H. S. Bear, Gerald N. Hile

Publication date: 1983

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308308820299

zbMATH Keywords

discontinuous boundary dataelliptic differential inequalities

Mathematics Subject Classification ID

Partial differential inequalities and systems of partial differential inequalities (35R45) PDEs with low regular coefficients and/or low regular data (35R05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (7)

Behavior of prescribed mean curvature hypersurfaces on reentrant ridges ⋮ Exceptional Boundary Sets for Solutions of Parabolic Partial Differential Inequalities ⋮ Solutions of polyharmonic Dirichlet problems derived from general solutions in the plane ⋮ Boundary behavior near reentrant corners for solutions of certain elliptic equations ⋮ On cusp solutions to a prescribed mean curvature equation ⋮ Phragmén-Lindelöf principles for solutions of elliptic differential inequalities ⋮ A MAXIMUM PRINCIPLE FOR SOLUTIONS OF A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS ON UNBOUNDED DOMAINS

Cites Work

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• On two theorems of Phragmén-Lindelöf for linear elliptic and parabolic differential equations of the second order
• Barriers on cones for uniformly elliptic operators
• Zum Phragmen-Lindelöfschen Prinzip bei partiellen Differentialgleichungen
• Extremal barriers on cones with Phragmén-Lindelöf theorems and other applications
• Gradient Characterizations of Analyticity
• A phragmén-lindelöf theorem in harmonic analysis and its application to some questions in the theory of elliptic equations

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