Jacobian determinants for nonlinear gradient of planar \(\infty \)-harmonic functions and applications

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
\(C^1\) 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
Adjoint methods for the infinity Laplacian partial differential equation
Second-order two-sided estimates in nonlinear elliptic problems
On certain singular solutions of the partial differential equation \(u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0\)
Representation of a p-harmonic function near a critical point in the plane
\(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
Tug-of-war with noise: a game-theoretic view of the \(p\)-Laplacian
Regularity for a more general class of quasilinear equations
Regularity for a class of nonlinear elliptic systems
Some new PDE methods for weak KAM theory
Regularity of \(p\)-harmonic functions on the plane
A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
Hessian estimates for equations involving \(p\)-Laplacian via a fundamental inequality
The gradient flow of infinity-harmonic potentials
An asymptotic sharp Sobolev regularity for planar infinity harmonic functions
Divergence forms of the \(\infty\)-Laplacian
Minimization problems for the functional \(\displaystyle{\sup_x}\, F(x,f(x),f'(x))\). I, II
Extension of functions satisfying Lipschitz conditions
On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
Minimization problems for functional supF(x, f(x), f'(x)). III
Tug-of-war and the infinity Laplacian
C1 + α local regularity of weak solutions of degenerate elliptic equations
Analytical foundations of the theory of quasiconformal mappings in R^n
p-Harmonic Functions in the Plane
On the fatou theorem for p-harmonic function
Note on an elementary inequality and its application to the regularity of p-harmonic functions
Optimal Lipschitz extensions and the infinity Laplacian