Nonlinear Hodge theory: applications

DOI10.1016/0001-8708(79)90016-1zbMath0408.58032OpenAlexW2082367086MaRDI QIDQ1258549

Robert J. Sibner, Lesley M. Sibner

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(79)90016-1

zbMATH Keywords

Gas DynamicsDirichlet and Neumann ProblemsMinimal SurfacesInhomogeneous Dirichlet DataInhomogeneous Neumann DataManifold with Lipschitz BoundarySurfaces with Prescribed Mean Curvature

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) Boundary value problems on manifolds (58J32)

Related Items

Transonic flow on an axially symmetric torus ⋮ Variational equations on mixed Riemannian-Lorentzian metrics ⋮ Nonlinear Hodge maps ⋮ Existence results for the nonlinear Hodge minimal surface energy ⋮ The heat flow in nonlinear Hodge theory ⋮ Maps and fields with compressible density ⋮ Duality methods for a class of quasilinear systems ⋮ Properties of nonlinear Hodge fields ⋮ An existence theorem for a non-regular variational problem ⋮ The generalized neumann problem for yang-mills connections ⋮ Constructing graphs over \(\mathbb R^n\) with small prescribed mean-curvature ⋮ A smooth transonic flow in the plane

Cites Work

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• The problem of dirichlet for quasilinear elliptic differential equations with many independent variables