The Dirichlet problem for the prescribed curvature quotient equations

DOI10.12775/TMNA.1994.016zbMath0812.58016MaRDI QIDQ1337629

Mi Lin, Neil S. Trudinger

Publication date: 16 May 1995

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemprescribed curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (13)

The Dirichlet problem for degenerate curvature equations ⋮ Exact principal blowup rate near the boundary of boundary blowup solutions to \(k\)-curvature equation ⋮ On the Dirichlet problem for Hessian equations ⋮ The Dirichlet problem for a class of prescribed curvature equations ⋮ Local estimates of normal second derivatives for solutions of the Dirichlet problem for the prescribed quotient curvature equations ⋮ An extremal case of the equation of prescribed Weingarten curvature ⋮ On the Dirichlet problem for general augmented Hessian equations ⋮ Interior curvature bounds for a type of mixed Hessian quotient equations ⋮ On the uniqueness of solutions of spectral equations ⋮ Unnamed Item ⋮ Interior curvature bounds for a class of curvature equations ⋮ An application of \(C^{1,1}\) approximation to comparison principles for viscosity solutions of curvature equations ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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