The Mean Curvature Equation with Oscillating Nonlinearity

DOI10.1515/ans-2015-0110zbMath1312.35121OpenAlexW2297074250MaRDI QIDQ5178522

Marcelo Montenegro, Anderson Luis A. de Araujo

Publication date: 16 March 2015

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0110

zbMATH Keywords

Dirichlet problema priori boundsexistence of solutionprescribed mean curvature

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Variational problems in a geometric measure-theoretic setting (49Q20) A priori estimates in context of PDEs (35B45) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Positive solutions to PDEs (35B09) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (1)

Infinitely many solutions of a quasilinear elliptic equation with nonlinearity oscillating close to zero

Cites Work

• Unnamed Item
• Multiple solutions for the mean curvature equation
• On the multiplicity of nodal solutions of a prescribed mean curvature problem
• Ground States for the Prescribed Mean Curvature Equation
• Boundary regularity for solutions of degenerate elliptic equations
• A Prescribed Mean Curvature Problem on Domains without Radial Symmetry
• Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain
• On the Dirichlet problem of prescribed mean curvature equations without H-convexity condition
• Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation

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