Existence and regularity results for a perturbed quasilinear 1-biharmonic equation

DOI10.1142/s1793557124500463MaRDI QIDQ6651072

Mahsa Amoie, Mohsen Alimohammady, Morteza Koozehgar Kalleji

Publication date: 9 December 2024

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

variational methodsbiharmonic equationDirichlet condition

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

• Existence and multiplicity of nontrivial solutions for some biharmonic equations with \(p\)-Laplacian
• An alternative derivation of the eigenvalue equation for the 1-Laplace operator
• Higher-order functional inequalities related to the clamped 1-biharmonic operator
• Linking solutions for quasilinear equations at critical growth involving the ``1-Laplace operator
• Nonlinear oscillations in a suspension bridge
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
• Some existence results of bounded variation solutions to 1-biharmonic problems
• Combined effects for non-autonomous singular biharmonic problems
• Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem
• DIRICHLET PROBLEMS FOR THE 1-LAPLACE OPERATOR, INCLUDING THE EIGENVALUE PROBLEM
• KATO'S INEQUALITY UP TO THE BOUNDARY
• The Euler Equation for Functionals with Linear Growth
• A New Approach to Lagrange Multipliers
• The eigenvalue problem for the 1-biharmonic operator
• Large-Amplitude Periodic Oscillations in Suspension Bridges: Some New Connections with Nonlinear Analysis
• Ground state and non-ground state solutions of some strongly coupled elliptic systems
• On the p-biharmonic equation involving concave-convex nonlinearities and sign-changing weight function

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