On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces
DOI10.1155/2022/1021461zbMath1502.49014OpenAlexW4288434544WikidataQ113758298 ScholiaQ113758298MaRDI QIDQ2111120
Cyrille Dansou, Fortuné Dohemeto, Guy Aymard Degla
Publication date: 23 December 2022
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2022/1021461
nonsmooth critical point theoryEkeland variational principleGalewski-Rădulescu nonsmooth global implicit function
Nonsmooth analysis (49J52) Implicit function theorems, Jacobians, transformations with several variables (26B10) Continuous and differentiable maps in nonlinear functional analysis (46T20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The implicit function theorem. History, theory, and applications
- On stationary thermo-rheological viscous flows
- Generalized gradients of Lipschitz functionals
- Variational methods for non-differentiable functionals and their applications to partial differential equations
- On the inverse function theorem
- On Ekeland's variational principle and a minimax theorem
- Support functions of the Clarke generalized Jacobian and of its plenary hull
- Some remarks on Rademacher's theorem in infinite dimensions
- Periodic solutions for a differential inclusion problem involving the \(p(t)\)-Laplacian
- Inversion of nonsmooth maps between Banach spaces
- Surjection and inversion for locally Lipschitz maps between Banach spaces
- On a global implicit function theorem for locally Lipschitz maps via non-smooth critical point theory
- Natural Operations on Differential Forms
- Some New Generalizations of Critical Point Theorems for Locally Lipschitz Functions
- A Course in Multivariable Calculus and Analysis
- Generalized Gradients and Applications
- A New Approach to Lagrange Multipliers
- Global invertibility of mappings between Banach spaces and applications to nonlinear equations
- Implicit Functions and Solution Mappings
- Periodic solutions for second order systems with not uniformly coercive potential
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
This page was built for publication: On nonsmooth global implicit function theorems for locally Lipschitz functions from Banach spaces to Euclidean spaces
