\(L^\infty\)-variational problems associated to measurable Finsler structures
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Publication:900891
DOI10.1016/j.na.2015.10.025zbMath1329.49004arXiv1508.02936OpenAlexW2964177947WikidataQ110235393 ScholiaQ110235393MaRDI QIDQ900891
Da Chun Yang, Chang-Lin Xiang, Chang Yu Guo
Publication date: 23 December 2015
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.02936
Existence theories for free problems in two or more independent variables (49J10) Other generalizations (nonlinear potential theory, etc.) (31C45) Quasilinear elliptic equations (35J62)
Related Items (4)
Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian ⋮ Intrinsic geometry and analysis of Finsler structures ⋮ A Rademacher type theorem for Hamiltonians \(H(x, p)\) and an application to absolute minimizers ⋮ Uniqueness of absolute minimizers for \(L^\infty\)-functionals involving Hamiltonians \(H(x,p)\)
Cites Work
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- \(L^\infty\)-variational problem associated to Dirichlet forms
- Everywhere differentiability of viscosity solutions to a class of Aronsson's equations
- \(C^1\) regularity for infinity harmonic functions in two dimensions
- Everywhere differentiability of infinity harmonic functions
- Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
- Geometry and analysis of Dirichlet forms
- Intrinsic geometry and analysis of diffusion processes and \(L^{\infty}\)-variational problems
- Shape optimization and supremal minimization approaches in landslides modeling
- From 1-homogeneous supremal functionals to difference quotients: relaxation and \(\Gamma\)-convergence
- Homogenization of two-phase metrics and applications
- \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
- \(C^1\)-regularity of the Aronsson equation in \(\mathbb{R}^2\)
- Smooth approximation of weak Finsler metrics
- LIP manifolds: from metric to Finslerian structure
- An easy proof of Jensen's theorem on the uniqueness of infinity harmonic functions
- Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
- Extension of functions satisfying Lipschitz conditions
- Minimization problems for functional supF(x, f(x), f'(x)). III
- EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*
- Tug-of-war and the infinity Laplacian
- Dielectric breakdown: optimal bounds
- A tour of the theory of absolutely minimizing functions
- Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds
- Uniqueness of ∞-Harmonic Functions and the Eikonal Equation
- Γ-convergence and absolute minimizers for supremal functionals
- Equivalence of AMLE, strong AMLE, and comparison with cones in metric measure spaces
- Generalized Cone Comparison Principle for Viscosity Solutions of the Aronsson Equation and Absolute Minimizers
- Optimal Lipschitz extensions and the infinity Laplacian
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