Some nonlinear differential equations in the hyperbolic plane

DOI10.1016/0362-546X(83)90037-8zbMath0515.35034OpenAlexW1973774628MaRDI QIDQ3661979

Thórdur Jónsson

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(83)90037-8

zbMATH Keywords

Laplace-Beltrami operatordirect methodhyperbolic planediscontinuous boundary values

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Nonlinear boundary value problems for linear elliptic equations (35J65) Degenerate elliptic equations (35J70) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• An existence theorem for multimeron solutions to classical Yang-Mills field equations
• Some degenerate two point boundary value problems
• Eigenspaces of the Laplacian ; integral representations and irreducibility
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