A barrier method for mean curvature problems

DOI10.1016/0362-546X(93)90005-DzbMath0797.35055OpenAlexW2019965018MaRDI QIDQ4291642

Jianfu Yang, Ezzat S. Noussair, Charles A. Swanson

Publication date: 27 October 1994

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

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90005-d

zbMATH Keywords

barrier methodsubsolutionsupersolutionprescribed mean curvature

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear boundary value problems for linear elliptic equations (35J65) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items (13)

Multiplicity of solution for some classes of prescribed mean curvature equation with Dirichlet boundary condition ⋮ Multiplicity of solutions for some classes of prescribed mean curvature equations with local conditions ⋮ Boundary value problems for highly nonlinear inclusions governed by non-surjective \(\Phi \)-Laplacians ⋮ Analysis of a one-dimensional prescribed mean curvature equation with singular nonlinearity ⋮ Radial solutions for a prescribed mean curvature equation with exponential nonlinearity ⋮ Positive solutions of the Dirichlet problem for the prescribed mean curvature equation ⋮ MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM ⋮ Classical and non-classical solutions of a prescribed curvature equation ⋮ Nonexistence of solutions for prescribed mean curvature equations on a ball ⋮ On a sub-supersolution method for the prescribed mean curvature problem ⋮ Revisiting the sub- and super-solution method for the classical radial solutions of the mean curvature equation ⋮ Variational method based on finite dimensional approximation in a generalized prescribed mean curvature problem ⋮ On the multiplicity of nodal solutions of a prescribed mean curvature problem

Cites Work

• A bifurcation problem for a quasi-linear elliptic boundary value problem
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• Ground States for the Prescribed Mean Curvature Equation
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