Quasilinear second order elliptic equations with Venttsel boundary conditions

DOI10.1007/BF01053434zbMath0823.35059OpenAlexW3157541047MaRDI QIDQ1320303

Yousong Luo, Neil S. Trudinger

Publication date: 1 November 1995

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

Full work available at URL: https://doi.org/10.1007/bf01053434

zbMATH Keywords

viscosity solutiona priori estimateselliptic regularizationquasilinear boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Second-order elliptic equations (35J15)

Related Items (7)

Regularity of solutions of the model Venttsel' problem for quasilinear parabolic systems with nonsmooth in time principal matrices ⋮ Elliptic equations with transmission and Wentzell boundary conditions and an application to steady water waves in the presence of wind ⋮ Existence and uniqueness for a two-dimensional Ventcel problem modeling the equilibrium of a prestressed membrane. ⋮ Steady stratified periodic gravity waves with surface tension. II: Global bifurcation. ⋮ Regularity of weak solutions to the model Venttsel problem for linear parabolic systems with nonsmooth in time principal matrix: \(A(t)\)-caloric approximation method ⋮ Generation of analytic semigroups with generalized Wentzell boundary condition ⋮ Stability of spherically confined free boundary drops with line tension

Cites Work

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• On the quasilinear elliptic Venttsel boundary value problem
• Viscosity Solutions of Hamilton-Jacobi Equations
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Existence of solutions for a class of semilinear noncoercive problems
• On uniqueness and existence of viscosity solutions of fully nonlinear second-order elliptic PDE's
• Water Waves Over Periodic Bottoms in Three Dimensions
• Linear second order elliptic equations with Venttsel boundary conditions

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