Infinity Laplacian equation with strong absorptions
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Publication:5963427
DOI10.1016/j.jfa.2015.12.012zbMath1344.35034arXiv1601.00957OpenAlexW2949775951MaRDI QIDQ5963427
Damião J. Araújo, Raimundo A. Leitão, Eduardo V. Teixeira
Publication date: 19 February 2016
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1601.00957
Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40)
Related Items (12)
On the critical point regularity for degenerate diffusive equations ⋮ Harnack inequality and principal eigentheory for general infinity Laplacian operators with gradient in \(\mathbb{R}^N\) and applications ⋮ Infinity Laplacian equations with singular absorptions ⋮ Detecting the completeness of a Finsler manifold via potential theory for its infinity Laplacian ⋮ Liouville Theorems for infinity Laplacian with gradient and KPP type equation ⋮ Geometric regularity estimates for fully nonlinear elliptic equations with free boundaries ⋮ Classification of irregular free boundary points for non-divergence type equations with discontinuous coefficients ⋮ Reaction-diffusion equations for the infinity Laplacian ⋮ A free boundary optimization problem for the \(\infty\)-Laplacian ⋮ A limiting free boundary problem for a degenerate operator in Orlicz-Sobolev spaces ⋮ On the supremal version of the Alt-Caffarelli minimization problem ⋮ Viscosity solutions to the infinity Laplacian equation with strong absorptions
Cites Work
- \(C^1\) 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
- Optimal regularity at the free boundary for the infinity obstacle problem
- \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
- Hausdorff dimension and mean porosity
- Sharp regularity for general Poisson equations with borderline sources
- Regularity for quasilinear equations on degenerate singular sets
- Inhomogeneous infinity Laplace equation
- Extension of functions satisfying Lipschitz conditions
- On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
- On the regularity of solutions of the inhomogeneous infinity Laplace equation
- Tug-of-war and the infinity Laplacian
- A limiting free boundary problem ruled by Aronsson’s equation
- Nonlocal Tug-of-War and the Infinity Fractional Laplacian
- User’s guide to viscosity solutions of second order partial differential equations
- An axiomatic approach to image interpolation
- A tour of the theory of absolutely minimizing functions
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