On a class of boundary value problems involving the \(p\)-biharmonic operator

DOI10.1016/j.jmaa.2009.12.022zbMath1196.34019OpenAlexW2062012592MaRDI QIDQ961076

Gheorghe Morosanu, Tihomir Gyulov

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.022

zbMATH Keywords

mountain pass theoremdifferential inclusioncritical pointsubdifferentialnonlinear elasticityboundary value problem\(p\)-biharmonic operatorClarke gradientnonsmooth nonlinearity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elasticity (74B20) Ordinary differential inclusions (34A60)

Related Items (11)

On the discretization of evolution <i>p</i>-bi-Laplace equation ⋮ A C⁰ Interior Penalty Discontinuous Galerkin Method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of p-biharmonic type ⋮ Higher order approximation of biharmonic problem using the WEB-spline based mesh-free method ⋮ On the solution of evolution p(.)-Bilaplace equation with variable ⋮ Mixed finite element method for a beam equation with the \(p(x)\)-biharmonic operator ⋮ Unnamed Item ⋮ A critical \(p\)-biharmonic system with negative exponents ⋮ Approximation of \(p\)-biharmonic problem using WEB-spline based mesh-free method ⋮ On the numerical approximation of p‐biharmonic and ∞‐biharmonic functions ⋮ Existence of a non-trivial solution for fourth-order elastic beam equations involving Lipschitz non-linearity ⋮ A Lie symmetry analysis and explicit solutions of the two‐dimensional ∞‐Polylaplacian

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