On a nonsmooth fourth order boundary value problem

DOI10.1016/j.na.2006.09.041zbMath1130.34007OpenAlexW1988556695MaRDI QIDQ2381466

Tihomir Gyulov, Gheorghe Morosanu

Publication date: 18 September 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.09.041

zbMATH Keywords

mountain pass theoremdifferential inclusioncritical pointfourth order equationdirect variational methodnonsmooth nonlinearity

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear boundary value problems for ordinary differential equations (34B15) Ordinary differential inclusions (34A60)

Related Items (3)

Periodic solutions for discontinuous perturbations of the relativistic operator ⋮ On a class of boundary value problems involving the \(p\)-biharmonic operator ⋮ Boundary value problems for discontinuous perturbations of singular \(\phi\)-Laplacian operator

Cites Work

• Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
• Cylindrical shell buckling: a characterization of localization and periodicity
• Multiple positive solutions for a semipositone fourth-order boundary value problem
• The dual variational principle and equilibria for a beam resting on a discontinuous nonlinear elastic foundation
• Positive solutions for a beam equation on a nonlinear elastic foundation
• Positive solutions for a fourth order boundary value problem
• Existence and uniqueness theorems for the bending of an elastic beam equation
• State Constraints in Convex Control Problems of Bolza
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