Existence and regularity results for a perturbed quasilinear 1-biharmonic equation
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Publication:6651072
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)
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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