A VARIATIONAL APPROACH FOR ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEMS

DOI10.1017/S1446788714000251zbMath1309.34018MaRDI QIDQ2925686

Giovanni Molica Bisci, Armin Hadjian, Ghasem Alizadeh Afrouzi

Publication date: 17 October 2014

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational methodsinfinitely many solutionsone-dimensional prescribed curvature problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Variational principles in infinite-dimensional spaces (58E30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Infinitely many weak solutions forp(x)-Laplacian-like problems with Neumann condition

Cites Work

• Infinitely many solutions for a mixed doubly eigenvalue boundary value problem
• Infinitely many solutions for a class of Dirichlet quasilinear elliptic systems
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Infinitely many radial solutions to a boundary value problem in a ball
• Multiple solutions of hemivariational inequalities with area-type term
• Closed form solution for a nonlocal elastic bar in tension.
• Multiple solutions of quasilinear equations involving an area-type term
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation
• A general variational principle and some of its applications
• A nonhomogeneous nonlocal elasticity model
• Classical and non-classical solutions of a prescribed curvature equation
• Eigenvalue problems for the \(p\)-Laplacian
• One-dimensional prescribed mean curvature equation with exponential nonlinearity
• On The Dirichletproblem for Quasilinear Equations
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• Boundary regularity for solutions of degenerate elliptic equations
• Positive Solutions of an Indefinite Prescribed Mean Curvature Problem on a General Domain
• Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation
• MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM
• Classical and Non-Classical Sign-Changing Solutions of a One-Dimensional Autonomous Prescribed Curvature Equation

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